Study sets matching "college algebra functions"

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Study sets matching "college algebra functions"

10 terms
Library of Functions -College Algebra
linear function
constant function
identity function
square function
f(x) = mx+b, m and b are real numbers
f(x) = b, b is a real number... even function
f(x) = x... odd function... anchor point is (0,0)... right 1 - up 1…
f(x) = x^2... even function... anchor point is (0,0)... left or righ…
linear function
f(x) = mx+b, m and b are real numbers
constant function
f(x) = b, b is a real number... even function
43 terms
College Algebra: Functions
What is the average Rate of Change for…
Which direction does f(x)=+c move in s…
What direction does f(x)-c move in sta…
Which direction does f(x+c) move
f(x2)-f(x1) / x2-x1
Up
Down
Left
What is the average Rate of Change for…
f(x2)-f(x1) / x2-x1
Which direction does f(x)=+c move in s…
Up
15 terms
college algebra vocab: functions
relation
domain
range
the 5 ways to write a relation
any set of ordered pairs
x-values, independent variables, input
y-values, dependent variables, output
1.) set of ordered pairs: {(1,2), (3,4), (5,6)}... 2.) as a tabl…
relation
any set of ordered pairs
domain
x-values, independent variables, input
Basic Functions: College Algebra
Constant Function... F(x)=c
Identity Function... F(x)=x
Squaring Function... F(x)=x^2
Cubing Function... F(x)=x^3
D:(-OO,OO)... R:{c}... Increases: (-OO,OO)... Even
D:(-OO,OO)... R:(-OO,OO)... Increases: (-OO,OO)... Odd
D:(-OO,OO)... R:[0,OO)... Increases:(0,OO)... Decreases:(-OO,0)... Odd
D:(-OO,OO)... R:(-OO,OO)... Increases:(-OO,OO)... Odd
Constant Function... F(x)=c
D:(-OO,OO)... R:{c}... Increases: (-OO,OO)... Even
Identity Function... F(x)=x
D:(-OO,OO)... R:(-OO,OO)... Increases: (-OO,OO)... Odd
College algebra vocab - functions
Relation
Domain
Range
The 5 ways to write a relation
Any set of ordered pairs
The set of all first components... (X value, independent variabl…
The set of all second components ... (Y value, dependent variabl…
☆Set of ordered pairs ... {(1/2,3), (2,-3), (4,7), (1,2/3)}... ☆Tab…
Relation
Any set of ordered pairs
Domain
The set of all first components... (X value, independent variabl…
8 terms
College Algebra -Functions
Parabola Vertex Form
Point-Slope Form
Slope
Center (Midpoint)
f(x)=a(x-h)^2+k
Y-y1=m(x-x1)
y2-y1/x2-x1
X1+x2/2, y1+y2/2
Parabola Vertex Form
f(x)=a(x-h)^2+k
Point-Slope Form
Y-y1=m(x-x1)
5 terms
College Algebra - Rational Functions
Horizontal Asymptotes.....
1st Rule...
2nd Rule...
3rd Rule...
rules
if the degree (N) < degree (D) then the horizontal asymptote…
if the degree (N) = degree (D) then the horizontal asymptote…
if degree(N) > degree (D) then there is no horizontal asymptote
Horizontal Asymptotes.....
rules
1st Rule...
if the degree (N) < degree (D) then the horizontal asymptote…
10 terms
College Algebra Function
Cubic
Absolute Value
Logarithmic
Logistic
volume of a box Domain: height Range: volume
bouncing cart on flat track Domain: time Range: distance
Measuring Earthquakes Domain:energy Range: power
Radioactive Decay Domain: time Range: amount
Cubic
volume of a box Domain: height Range: volume
Absolute Value
bouncing cart on flat track Domain: time Range: distance
college algebra Parent Function Graphs
the identity function
the squaring function
The cubing function
the reciprocal function
f(x)=x
f(x)=x²
f(x)=x³
f(x)=(1/x)
the identity function
f(x)=x
the squaring function
f(x)=x²
College Algebra functions review 1
Function
Function Notation
Function Generic Venn Diagram
Satisfy the Rule
A *function* consists of three things: ... 1) A set called the…
The coordinates of a point (a, b) are said to *satisfy the ru…
Function
A *function* consists of three things: ... 1) A set called the…
Function Notation
College Algebra 5.1 functions
operation on functions
Domains for functions
Domain example for (f+g)(x), (f-g)(x),…
Domain example for (f÷g)(x)
(f+g)(x) = f(x)+ g(x)... (f-g)(x) = f(x)- g(x)... (fg)(x) = f(x) ti…
For sum, difference, and product of f and g share the same do…
for f(x) = 2 + √(x-1) and g(x)= x² - 4... When x≥1, then f(x) =…
for f(x) = 2 + √(x-1) and g(x)= x² - 4... It would look like ( 2…
operation on functions
(f+g)(x) = f(x)+ g(x)... (f-g)(x) = f(x)- g(x)... (fg)(x) = f(x) ti…
Domains for functions
For sum, difference, and product of f and g share the same do…
10 terms
College Algebra
complex number
real number
rational number
irrational number
a number of the form a + bi where a and b are real numbers. C…
numbers that are either rational or irrational. A real number…
a number that can be expressed as a/b, the ratio of two integ…
a number that cannot be expressed as a/b, the ratio of two in…
complex number
a number of the form a + bi where a and b are real numbers. C…
real number
numbers that are either rational or irrational. A real number…
10 terms
College Algebra
complex number
real number
rational number
irrational number
a number of the form a + bi where a and b are real numbers. C…
numbers that are either rational or irrational. A real number…
a number that can be expressed as a/b, the ratio of two integ…
a number that cannot be expressed as a/b, the ratio of two in…
complex number
a number of the form a + bi where a and b are real numbers. C…
real number
numbers that are either rational or irrational. A real number…
43 terms
Transition to College Algebra Linear Functions
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
(+,+)
(-,+)
(-,-)
(+,-)
Quadrant 1
(+,+)
Quadrant 2
(-,+)
43 terms
Transition to College Algebra Linear Functions
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
(+,+)
(-,+)
(-,-)
(+,-)
Quadrant 1
(+,+)
Quadrant 2
(-,+)
14 terms
College Algebra Chapter 2: Polynomial and Rational Functions
standard form
general form
vertex
intermediate value theorem
f(x) = a(x-h)^2+k
f(x) = ax^2+bx+c
(-b/2a,f(-b/2a))
let a and b be real numbers such that a<b. If f is a polynomi…
standard form
f(x) = a(x-h)^2+k
general form
f(x) = ax^2+bx+c
14 terms
College Algebra
Linear ... F(x)= x
Quadratic ... F(x)= x^2
Cubic... F(x)= x^3
Rational inverse... F(x)= 1/x
Domain: (-🔀,🔀)... Range: (-🔀,🔀)
Domain: (-🔀,🔀)... Range: [0,🔀)
Domain: (-🔀,🔀)... Range: (-🔀,🔀)
Domain: (-🔀,0)U(0,🔀)... Range: (-🔀,0)U(0,🔀)
Linear ... F(x)= x
Domain: (-🔀,🔀)... Range: (-🔀,🔀)
Quadratic ... F(x)= x^2
Domain: (-🔀,🔀)... Range: [0,🔀)
College Algebra
quadratic formula
compound interest formula
simple interest formula
distance formula
D=R X T
quadratic formula
compound interest formula
43 terms
College Algebra
When we can perform the operations of…
What is a function?
The quadratic formula
Standard Form of a Linear Equation
If two (or more) functions have the same domain, then we can…
Function is a relation where one components (x) corresponds o…
Solving quadratic equations--
Ax+By=C
When we can perform the operations of…
If two (or more) functions have the same domain, then we can…
What is a function?
Function is a relation where one components (x) corresponds o…
72 terms
College Algebra
quadratic formula
compound interest formula
simple interest formula
distance formula
D=R X T
quadratic formula
compound interest formula
7 terms
College Algebra - Chapter 3 - Rational Functions Etc
x-intercepts
y-intercepts
Vertical Asymptotes
Horizontal Asymptotes
roots of the numerator but NOT the denominator
plug 0 in for all the parts of the function
Roots of the denominator but NOT the numerator. If it is a ro…
If the degree of the numerator is less than that of the denom…
x-intercepts
roots of the numerator but NOT the denominator
y-intercepts
plug 0 in for all the parts of the function
6 terms
Verity College Algebra 2c
Slope of line
Equation of line: slope-intercept form
Equation of line: point-slope form
Equation of line: intercept form
Give two points (x1, y1) and (x2, y2), m = rise/run
y = mx + b, where m is the slope, b is the y-intercept
Give two points (x1, y1) and (x2, y2), ... (y - y1) = m(x - x1),…
"Given x-intercept a and x/a = y/b = 1 y-intercept b,
Slope of line
Give two points (x1, y1) and (x2, y2), m = rise/run
Equation of line: slope-intercept form
y = mx + b, where m is the slope, b is the y-intercept
College Algebra
Variable
Expression
Equation
Algebraic
A letter which represents or stands for in a value
A combination of variables, numbers and operators
Two expressions joined by an equal sign
An expression that does not contain words
Variable
A letter which represents or stands for in a value
Expression
A combination of variables, numbers and operators
12 terms
Verity College Algebra 1a
Square root and squared
Cube root
Base - 3... Exponent - 3
Base - 4... Exponent - 3
= 27
= 64
Square root and squared
Cube root
10 terms
College Algebra
complex number
real number
rational number
irrational number
a number of the form a + bi where a and b are real numbers. C…
numbers that are either rational or irrational. A real number…
a number that can be expressed as a/b, the ratio of two integ…
a number that cannot be expressed as a/b, the ratio of two in…
complex number
a number of the form a + bi where a and b are real numbers. C…
real number
numbers that are either rational or irrational. A real number…
College Algebra
Quadratic Equation
Quadratic Formula
Discriminant
Sum of the Roots
ax² + bx + c = 0
x = -b ± √(b² - 4ac)/2a
b²-4ac
-b/a
Quadratic Equation
ax² + bx + c = 0
Quadratic Formula
x = -b ± √(b² - 4ac)/2a
130 terms
College Algebra
Absolute value
Algebraic expression
Arithmetic expression
A systyem of equations
The distance from 0 to n on the number line |n|= n when n>=0…
An expression containing numbers, operation signs, and variab…
An expression containing numbers and operation signs, such as…
Two or more equations considered together.
Absolute value
The distance from 0 to n on the number line |n|= n when n>=0…
Algebraic expression
An expression containing numbers, operation signs, and variab…
10 terms
College Algebra
complex number
real number
rational number
irrational number
a number of the form a + bi where a and b are real numbers. C…
numbers that are either rational or irrational. A real number…
a number that can be expressed as a/b, the ratio of two integ…
a number that cannot be expressed as a/b, the ratio of two in…
complex number
a number of the form a + bi where a and b are real numbers. C…
real number
numbers that are either rational or irrational. A real number…
27 terms
College Algebra
Quadratic Equation
Zero-Product Property
Completing the Square
Quadratic Formula
The equation of form:... ax + bx + c = 0... where a , b , and c are…
AB = 0 if and only if A = 0 or B = 0
x^2 + bx + (b/2)^2 = (x +/2)^2
The roots of the quadratic equation ax^2 + bx + + c = 0 where…
Quadratic Equation
The equation of form:... ax + bx + c = 0... where a , b , and c are…
Zero-Product Property
AB = 0 if and only if A = 0 or B = 0
College Algebra
quadratic formula
compound interest formula
simple interest formula
distance formula
D=R X T
quadratic formula
compound interest formula
Algebra - Functions
Relation
Domain
Range
Inequality Notation
a set of ordered pairs; points on a graph; (x, y)
set of x values
set of y values
-10<x<10; uses inequality signs to say what the domain or ran…
Relation
a set of ordered pairs; points on a graph; (x, y)
Domain
set of x values
25 terms
College Algebra
Natural numbers
Whole numbers
Integers
Rational numbers
Counting numbers
Natural numbers and zero
Whole numbers, zero, neg numbers
Numbers in the form of a fraction
Natural numbers
Counting numbers
Whole numbers
Natural numbers and zero
9 terms
College Algebra
Distance Formula
Midpoint Formula
Slope
Slope Intercept Form
Distance Formula
Midpoint Formula
10 terms
College Algebra
complex number
real number
rational number
irrational number
a number of the form a + bi where a and b are real numbers. C…
numbers that are either rational or irrational. A real number…
a number that can be expressed as a/b, the ratio of two integ…
a number that cannot be expressed as a/b, the ratio of two in…
complex number
a number of the form a + bi where a and b are real numbers. C…
real number
numbers that are either rational or irrational. A real number…
College Algebra
slope formula
standard form
Simple Interest
Compound interest
Ax + By = C
slope formula
standard form
Ax + By = C
10 terms
College Algebra
complex number
real number
rational number
irrational number
a number of the form a + bi where a and b are real numbers. C…
numbers that are either rational or irrational. A real number…
a number that can be expressed as a/b, the ratio of two integ…
a number that cannot be expressed as a/b, the ratio of two in…
complex number
a number of the form a + bi where a and b are real numbers. C…
real number
numbers that are either rational or irrational. A real number…
College Algebra
complex number
real number
rational number
irrational number
a number of the form a + bi where a and b are real numbers. C…
numbers that are either rational or irrational. A real number…
a number that can be expressed as a/b, the ratio of two integ…
a number that cannot be expressed as a/b, the ratio of two in…
complex number
a number of the form a + bi where a and b are real numbers. C…
real number
numbers that are either rational or irrational. A real number…
College Algebra Chapter 2
An equation is a function if...
Definition of a function
Vertical Line Test
Even Function
each x-value has only one y-value
a correspondence from a first set, called the domain, to a se…
if any vertical line intersects a graph in more than one poin…
f(-x) = f(x), reflected over y-axis
An equation is a function if...
each x-value has only one y-value
Definition of a function
a correspondence from a first set, called the domain, to a se…
9 terms
Verity College Algebra 2a
What is an Ordered Pair?
What is a Relation?
What is a Domain?
What is a Range?
Point
A set of points
The first member of the relation (Usually x)
The second member of the relation (Usually y)
What is an Ordered Pair?
Point
What is a Relation?
A set of points
15 terms
Verity College Algebra 1b
What is the additive inverse for a?
What is the multiplicative inverse for…
What does a negative exponent represent?
What do you do when multiplying simila…
-a
1/a
The reciprocal
Add the exponents.
What is the additive inverse for a?
-a
What is the multiplicative inverse for…
1/a
College Algebra
Midpoint Formula
Slope Formula
Difference Quotient
Point Slope Form
Midpoint Formula
Slope Formula
9 terms
College Algebra
(1)
(2)
(3)
(4)
Number systems & fundamental concepts of algebra
Equations & inequalities of 1 variable
Linear equations & inequalities of 2 variables
Relations, Functions, & their graphs
(1)
Number systems & fundamental concepts of algebra
(2)
Equations & inequalities of 1 variable
College Algebra
Slope
Line with slope m passing through poin…
Line with slope m with y intercept (0,b)
Vertical Line with a point at (a,b)
y1 - y2 / x1 - x2
y-y1=m(x-x1)
y=mx+b
X=a
Slope
y1 - y2 / x1 - x2
Line with slope m passing through poin…
y-y1=m(x-x1)
40 terms
College Algebra
Sin 30
Sin 60
Sin 45
Cos 30
1/2
Square root of 3 divided by 2
Square root of 2 divided by 2
Square root of 3 divided by 2
Sin 30
1/2
Sin 60
Square root of 3 divided by 2
15 terms
College Algebra
Relation
Domain
Range
Function
A set of ordered pairs (x,y)
A set of X values
A set of Y values
A relation where each x-value in the domain has EXACTLY one y…
Relation
A set of ordered pairs (x,y)
Domain
A set of X values
College algebra
Number and numeral
Numbers
Numeral
Place value
Closely related concepts
Is an abstract idea used to represent quantity "four"
Is a symbol that represents a number "4"
Position of each digit in a number determines the value of th…
Number and numeral
Closely related concepts
Numbers
Is an abstract idea used to represent quantity "four"
47 terms
College Algebra Chapter 1
Algebraic expression
Associative property of addition
Associative property of multiplication
Base
constants and variables combined using addition, subtraction,…
the sum of three numbers may be grouped differently without a…
the product of three numbers may be grouped differently witho…
in exponential notation, the expression that is being multipl…
Algebraic expression
constants and variables combined using addition, subtraction,…
Associative property of addition
the sum of three numbers may be grouped differently without a…
College Algebra CHAPTER R and CHAPTER 1 GRAPHS, FUNCTIONS, AND MODELS
pressure
pascal
fluid
hydraulic system
Force per unit area.
The SI unit of pressure
A substance that flows
a system that multiplies force by transmitting pressure from…
pressure
Force per unit area.
pascal
The SI unit of pressure
103 terms
College Algebra
numerical expression
evaluate
order of operations
variable
consists of numbers and operations
to find the value of an expression
the order in which operations in an expression to be evaluate…
a letter used to represent one or more numbers
numerical expression
consists of numbers and operations
evaluate
to find the value of an expression
12 terms
College Algebra
True Statement
Identity
Single Solution
Conditional
a statement in a linear equation such as 0=0
an linear equation with a true statement. It's solution set i…
a solution in a linear equation such as x=3
an linear equation that leads to a single solution. Its solut…
True Statement
a statement in a linear equation such as 0=0
Identity
an linear equation with a true statement. It's solution set i…
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