Evaluating Functions
Lines
Inverse Functions
Analyzing Functions
Transformations
Piecewise and Absolute Value Functions
100

If  f(x)=1/2x -3, what is  f(4)?

-1

100

Find the slope between (-3,4) and (2,-1).

-1

100

Find the inverse of  f^-1(x) if  f(x)=4x-20.

f^-1(x)=(x+20)/4 or f^-1(x)=x/4+5

100

Which of the following are functions:

a)

b) 

c) 

f(x)=+-sqrtx

b only

100

Given f(x)=3sqrt(x-2)+4, describe the trasformations that were applied to the parent function  f(x)=sqrtx.

right 2 units, up 4 units, vertical stretch by a factor of 3

100

a) Evaluate f(-3)

b) Solve f(x)=0

a) -1

b) x= -2

200

If  f(x)=-7x+2, solve  f(x)=16.

x=-2

200

Write the equation of the line graphed below:

Some possibilities:

y= -2(x - 6) + 8

y = -2(x - 7) + 6

y = -2(x - 8) + 4

200

Find the inverse of  h(x) if  h(x)=1/3x-9.

f^-1(x)=3x+27

200

a) Find the domain

b) Find the range

c) State the vertex

a) (-∞ ,∞ )

b) [1,∞ )

c) (3,1)

200

Sketch a graph of  g(x)=1/2|x|+1.

200

Write the equation of the absolute value graph shown here:

f(x)=2|x-3|-2

300

Given the graph of  f(x) , evaluate  f(4) and solve  f(x)=4 .

f(4)=9 ; x= 2, -2

300

Write the equation of the line passing through (2, -3) with an undefined slope.

x = 2

300

f(x) and  g(x) are inverses, and  f(x) is represented in the table below.  What is  g(-3)?

1

300

Find the domain, range, increasing intervals, and decreasing intervals of the function below:


Domain: [-5,5]

Range: [-3,4]

Increasing: (-4,1)U(3,5)

Decreasing: (-5,-4,)U(1,3)

300

Given the graph of h(x) below, which graph represents -h(x-2)?

C

300

Sketch a graph of:

400

Given the graph of  h(x) below, and given  g(x)=2x^2-8, what is  g(h(3))?

64

400

Find the x- and y-intercepts, given 2x - 3y = 18.

x-int: (9,0)

y-int: (0,-6)

400

Given the graph of g(x)  below, which of the following would be a point on the graph of g^-1(x)?

a.) (1,2)

b.) (-1,-6)

c.) (-3,-6)

d.) (3,2)

d.) (3,2)

400

a) Where is f(x)>0? 

b) Where is f(x)<0?

c) Where is f(x) increasing?

d) Where is f(x) decreasing?

a) (-∞ ,-3)U(-3,-1)U(4,∞ )

b) (-1,4)

c) (-3,-2)U(1,4)U(4,∞ )

d) (-∞ ,-3)U(-2,1)

400

Given the table for f(x) below, make a table for g(x)=3f(x-6).

Points: (1,-6), (3,3), (5,9), (7,12), (11,0)

400

Write the equation of g(x) as a piecewise function, and then as an absolute value function.

piecewise function:

g(x) = {1(x-4)+3, x<=4 ; -1(x-4)+3, x>4}

absolute value: 

g(x)=-|x-4|+3

500

Given  f(x)=9x+3 and  g(x)=3x-7, find  f(g(x)).

f(g(x))=27x-60

500

If the line passes through the point (x,4), find the value of x.

x =  -4 2/3 

500

If f(x) and g(x) are inverses, complete the table for each function.

f(x): (-5,3), (-2,8), (4,5), (7,10)

g(x): (3,-5), (8,-2), (5,4), (10,7)

500

Sketch a graph that is:

-increasing on (-∞,-5)

- f(-3)=4

-zero slope on (-1,3)

-decreasing on (3,5)

-f(5) is undefined

Answers will vary.

500

Given t(x)=1/2(x+4)^2-5:

a.) Name the parent function and its equation

b.) Describe the transformations

c.) Sketch a graph of the transformed function

a.) Quadratic equation, 

t(x)=x^2

b.) Left 4 units, down 5 units, vertically shrink by a factor of 1/2

c.) 

500

Give that: 

a) Evaluate f(4)

b) Evaluate f(0)

c) Solve f(x) = 0

a) -3

b) -2

c) DNE

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