# Study sets matching "calculus 1"

Study sets

Diagrams

Classes

Users

End behavior

Exponential Decay

Exponential Growth

Limit

The appearance of a graph as it is followed farther and farthe…

A model for decay of a quantity for which the rate of decay is…

This model is used for such phenomena as inflation or populati…

The value that a function or expression approaches as the doma…

End behavior

The appearance of a graph as it is followed farther and farthe…

Exponential Decay

A model for decay of a quantity for which the rate of decay is…

Metacognition ( Five things to remember…

Five Step Problem Solving process (algo…

Function

Write Equations of Parallel and Perpend…

1. Assess the task—Get a handle on what is involved in complet…

1. Familiarize yourself with the problem... 2. Identify the know…

a function from a set X to a set Y is a rule for assigning to…

Metacognition ( Five things to remember…

1. Assess the task—Get a handle on what is involved in complet…

Five Step Problem Solving process (algo…

1. Familiarize yourself with the problem... 2. Identify the know…

Foundation 1: I can state 2 things that…

Foundation 2: I can state 2 things that…

Foundation 3

D1:

1.) The instantaneous rate of change and 2.) the slope of the…

1.) the net change; 2.) the area between a curve and the x-axis

I can estimate derivatives numerically

I can state what limits informally mean

Foundation 1: I can state 2 things that…

1.) The instantaneous rate of change and 2.) the slope of the…

Foundation 2: I can state 2 things that…

1.) the net change; 2.) the area between a curve and the x-axis

Real Number

Rational Number

Irrational Number

Integer

All rational and irrational numbers

Any number that can be expressed as a ratio of two integers

A number that cannot be expressed as a terminating or repeatin…

All whole numbers (both positive and negative) and zero.

Real Number

All rational and irrational numbers

Rational Number

Any number that can be expressed as a ratio of two integers

Difference Quotient

Piecewise functions

Logarithmic Function

Trigonometric Functions

Function expressed by two or more different formulas over diff…

and/or A^y = X

Sine X ... Cos X ... Tan X ... Sec X ... CSC X ... CoTan X

Difference Quotient

Piecewise functions

Function expressed by two or more different formulas over diff…

average velocity

limit

completing the square algebraic method

conjugate algebraic method

change in position over change in time

(IF) | f(x) - L | becomes arbitrarily small when x is any numb…

average velocity

change in position over change in time

limit

(IF) | f(x) - L | becomes arbitrarily small when x is any numb…

Function

Domain

x²x³

x²/x³

Assigns to each number in its domain another number... Takes 1 i…

Consists of all numbers for which the rule makes sense. All nu…

x²⁺³

x²⁻³

Function

Assigns to each number in its domain another number... Takes 1 i…

Domain

Consists of all numbers for which the rule makes sense. All nu…

S

∈

⊆

U

set- collection of objects.... {a,b,c,d,e,f}... {all real numbers (R…

element of a set... a∈S meaning a is an element of the set (S) {a…

Subset meaning every object in one set is in another larger se…

union

S

set- collection of objects.... {a,b,c,d,e,f}... {all real numbers (R…

∈

element of a set... a∈S meaning a is an element of the set (S) {a…

What would this graph look like?... y = x…

What are the two ways to check for x-in…

What are the two ways to check for y-in…

What are two ways to solve systems of e…

It would look like a parabola, shifted up one unit vertically.

1) Look at the graph for lines touching the x-axis... 2) Set y =…

1) Look at the graph for lines touching the y-axis... 2) set x =…

1) Substitution... 2) Elimination

What would this graph look like?... y = x…

It would look like a parabola, shifted up one unit vertically.

What are the two ways to check for x-in…

1) Look at the graph for lines touching the x-axis... 2) Set y =…

Function

Domain

x²x³

x²/x³

Assigns to each number in its domain another number... Takes 1 i…

Consists of all numbers for which the rule makes sense. All nu…

x²⁺³

x²⁻³

Function

Assigns to each number in its domain another number... Takes 1 i…

Domain

Consists of all numbers for which the rule makes sense. All nu…

10

5

6

3/2

Evaluate the limit in Part A given the following information:

Evaluate the limit in Part B given the following information:

Evaluate the limit in Part C given the following information:

Evaluate the limit in Part D given the following information:

10

Evaluate the limit in Part A given the following information:

5

Evaluate the limit in Part B given the following information: