Test Review

Function Operations

100

g(x) = x² - x

h(x) = x - 3

find (g + h)(x)

x² - 3

200

g(x) = -2x + 3

h(x) = x² + 3 - x

-x² - x

300

f(t) = 3t - 4

g(t) = 3t + 1

Find (f * g)(t)

9t² - 9t - 4

400

f(x) = 3x - 3

g(x) = 2x - 4

Find (f/g)(x)

3x - 3

----------

2x - 4

Where x can't be 2

500

g(n) = 3n - 2

h(n) = -2n² + 5n

Find (g o h)(6)

-128

Zeros

100

What are the zeros of the graph?

y = |x - 2| - 2

x = 0, 4

200

Find the zero's of the following graph.

x + 2y = 4

x = 4

300

-x² - 2x

x = -2, 0

400

Find the zero algebraically.

f(x) = 2x - 8

x = 4

500

Find the zeros algebraically 

f(x) = 4/5x + 4

x = -4

Graph Analysis

100

Yes

D : (-oo, oo)

R: (-oo, oo)

200

Yes

Increasing: [2,oo)

Decreasing: (-oo, 2]

300

No

X ---> oo, Y ---> oo

400

Maybe

D: (-oo, oo)

R: [-4, oo)

Increasing: [4,oo)

Decreasing: (-oo, 4]

X---> oo  Y ---> oo

X ---> -oo   Y ---> oo

500

So

D: (-oo, oo)

R: (-oo, oo)

Increasing: [0,2]

Decreasing: (-oo, 0] U [2 , oo)

X ---> oo  Y---> - oo

X ---> -oo  Y--- oo

Transformations and Vertex Forms

100

What are the three types of transformations?

Reflection, Translations, and Dilation

200

What is the parent graph of linear equations?

What is the parent graph of the absolute value equations?

y = x

y = |x|

300

Tell me the transformations of the following equation.

f(x) = -5|x - 2| - 2

Down 2

Right 2

Reflected

Enlarged by 5

400

Give me the vertex of the following equation and draw it's graph.

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

V: (2, 3)

500

Give me the vertex, the transformations of the function, and draw the graph.

y  < - 2|x - 3| + 2

V: (3,2)

Reflected

Right 3

Up 2

Enlarged by 2