Algebra 2: Unit 1 Review (Functions)

Algebra 2: Unit 1 Review (Functions)

by Karen Schutz

​Domain:

​Range:

Multiple Choice

What is the Range?

• y ≥ 6

• y ≤ 6

• -10 ≤ y ≤ 6

• -10 ≤ x ≤ 6

Multiple Choice

What is the domain?

• [-2, 3]

• [-2, 3)

• (-2, 3]

• [-3, 4]

• (-3, 4]

Multiple Choice

Where is the function decreasing?

• (-∞, -1)

• (-1, ∞)

• (-∞, 3)

• (-∞, ∞)

Multiple Choice

When is this function increasing?

• (-3, 3)

• (-2.5, 2.5)

• [-3, 3]

• (3, ∞)

​End behavior

Multiple Choice

In the above graph complete the following end behavior: As x --> -∞, f(x) --> ____ As x --> +∞, f(x) --> ____

• -∞ -∞

• +∞ -∞

• -∞ +∞

• +∞ +∞

​Intercepts: Ordered pairs

​Zeros: x = #

Multiple Choice

^{What is the x- intercept of the line?}

• (1, 0)

• (2, 0)

• ( -1, 0)

• (-2, 0)

Multiple Choice

l x−6 l + 4= 10

• x = 12 and x = 0

• x = 3 and x = -3

• x = -12 and x = 0

• No Solution

Multiple Choice

|c + 4| < 5

• x < -9 or x > 1

• -9 < x < 1

• x < 9 or x > -1

• -1 < x < 9

Multiple Choice

|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12

• -4 ≤ y ≤ -12

• y ≤ 4 or y ≥ -12

• -12 ≤ x ≤ 4

Multiple Choice

Describe the transformation:

y = I x - 4 I 

• Left 4

• Right 4

• Up 4

• Down 4

Multiple Choice

Choose the correct translated function.

• f(x)= |x|+2

• f(x)= |x|-2

• f(x)= -|x|

• f(x)= -|x|+2

Multiple Choice

What is the equation for the graph?

• f(x) ≥|x-2|

• f(x) >|x-2|

• f(x) ≥|x+2|

• I don't know

Multiple Choice

Given f and g in the graph,

what is f(g(2)) ?

• 3

• 8

• 1

• 4

Multiple Choice

If f(x) = 5x and g(x) = 2x-1,

what is f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Multiple Choice

Find the inverse  f(x)=2x-2      

• f^-1(x)=1/2x+1

• f^-1(x)=-2-1/2x

• f^-1(x)=-7/3x-20/3

• 2-2/5x

​Remainder of class:

​--Study guide (answers on schoology)

​--Missing work (check SIS)