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### Cartesian plane

an ordered pair of real numbers can be represented in a plane called the rectangular coordinate system

### midpoint formula

finding the average values of the representative coordinates of the two endpoints of a line segment in a Cartesian plane.

### solution

an ordered pair that solves an equation when x and y are substituted and the equation is proven true

### circle; (h,k); r

the equation (x-h)2+(y-k)2=r2 is the standard form of the equation of a ------ with center ---- and radius ---

### rate

when the x-axis and the y-axis have different unites of measure, slope can be interpreted as --------.

### linear extrapolation

the prediction method used to estimate a point on a line that does not lie between the given points

### domain; range; function

a relation that assigns to each element x from a set of inputs, or ------, exactly one element y in a set of outputs, or -------, is called a ------.

### verbally; numerically; graphically; algebraically

functions are commonly represented in four different ways

### independent variables

for an equation that represents y as a function of x, the set of all values taken on by the ------- variable x is the domain

### dependent variables

for an equation that represents y as a function of x, the set of all values taken on by the ----------- variable y is the range.

### implied domain

if the domain of the function f is not given, then the set of values of the independent variable for which the expression is defined

### difference quotient

in calculus, one of the basic definitions is given by [f(x+h)-f(x)]/h h cannot equal 0

### ordered pairs

the graph of a function is the collection of ------- or (x, f(x)) such that x is the domain of f

### Vertical Line Test

used to determine whether the graph of an equation is a function of y in terms of x

### decreasing

a function f is ------- on an interval if, for any x1 and x2 in the interval, x1 < x2 implies F(x1) > F(x2)

### maximum

a function value f(a) is a relative -------- of f if there exists an interval (x1,x2,) containing a such that x1<x<x2 implies f(a)>=f(x)

### average rate of change; secant

between any to points (x, f(x)) and (x2, f(x2)) is the slope of the line through the two points, this line is then called the -------- line

### horizontal shrink; horizontal stretch

a nonrigid transformation of y=f(x) represented by h(x)=f(cx) is a ------------------ if c>1, and a -------------- if 0<c<1

### vertical stretch; vertical shrink

a nonrigid transformation of y=f(x) represented by h(x)=cf(x) is a -------------------- if c>1, and a ----------------- if 0<c<1.

### addition; subtraction; multiplication; division

two functions f & g can be combined by the arithmetic operations of ---, -------, -----, & ------ to create new functions.

### inverse

if the composite functions f(g(x))=x and g(f(x))=x then the function f is the ------ function of g

### one-to-one

a function is ------ if each value of the dependent variable corresponds to exactly one value of the independent variable

### h(x)= -f(x); h(x)=f(-x)

a reflection in the x-axis of y=f(x) is represented by -------, while a reflection in the y-axis of y=f(x) is represented by -----------.