Chapter 4 Review

Evaluating

100

Evaluate the given function for x = 3

h(x) = x³ - 4x

15

200

If f(x) = 2x - 3 and g(x) = x² - 2,

Find f(0) + g(3).

4

300

Evaluate the function using the graph displayed on the board.

f(-1)

3

400

If h(x) = 2x - 3, find the value of x when h(x) = -5.

-1

500

If g(x) = x² - 1, find the range if the domain is {-3,3,5}

{8, 24}

Transformations

100

The parent function of a quadratic function is f(x) = x², what type of transformation would occur in the following function?

h(x) = x² - 8

Vertical Translation down 8 units

200

Name the following transformation

d(x) = (x+3)²

Horizontal Translation Left 3 units

300

If the parent function is f(x) = x, what would the new function be after a reflection over the x-axis and a vertical translation up 2 units?

g(x) = -x + 2

400

If the parent function is f(x) = 2^x, what would the new function be after a compression of 2/3?

g(x) = 2/3 (2^x)

500

Identify the parent function and describe the transformation for the following function.

g(x) = 3(x - 1)² - 6

Quadratic, stretch by a factor of 3, horizontal translation right 1, vertical translation down 6

Rate of Change

100

Find the average rate of change of the points (32, 600) and (40, 800)

25

200

Find the average rate of change of the table on the board from x = 0, x = 25

6

300

Find the average rate of change for the following function from x=1 to x=4.

f(x) = 3x² - 4

15

400

A partial set of values is provided for each function f(x) and g(x). Which function has the greatest rate of change over the interval [-1,3]?

x    f(x)    g(x)

-1   -2      -4

0     3       -5

3     2        4

g(x)

500

Using the function on the board, find the average rate of change on the interval [-4,3]

-1

Function Families

100

This type of function has a constant rate of change.

What is a linear function?

200

This type of function has either a maximum or a minimum.

What is a quadratic function?

300

This type of function has an asymptote.

What is an exponential function?

400

If given a table and the first difference in y-coordinates in the same, the table would represent this type of function.

What is a linear function?

500

If given a table and the ratio between the y-coordinates is the same, the table would represent this type of function.

What is an exponential function?

Q2 Review

100

Given the relation {(2,3),(9,0),(-1,2),(4,5),(0,2)}, what is the domain?

{2,9,-1,4,0}

200

The following function would represent what function family?

g(x) = x² - 10

Quadratic Function

300

This is also called the x-intercept.

What is the zero?

400

What is the range of the graph displayed on the board?

all real numbers

500

This is what we call a graph that consists of points that are not connected.

What is a Discrete Graph?