Combining Functions

Unit 4 Quiz Review: Functions

Let's review what we have done in Unit 4!

Unit 4 Quiz Topics

• Graphing on a Coordinate Plane

• Function vs. Relation (Not a Function)

• Function Notation & Evaluation

• We're going to review backwards starting with Topic 3!

Topic 3: Function Notation, Evaluation

• Evaluating a function given a specific input

Multiple Choice

Evaluate f(x) = 3x - 4 at f(3)

• 5

• 13

• 2

Answer:

Evaluate f(x) = 3x - 4 at f(3)

*Replace x with 3 and simplify!*

f(x) = 3x - 4

f(3) = 3(3) - 4

= 9 - 4

= 5

Multiple Choice

Let

$$g\left(x\right)=\frac{1}{3}x+4$$  

What is g(6)?

• 4

• 5

• 6

Answer:

 $g\left(x\right)\ =\ \frac{1}{3}x+4$  
Determine g(6).

Replace x with 6 and simplify! 
 $g\left(6\right)\ =\ \frac{1}{3}\left(6\right)+4$ 
= 2 + 4
= 6

Multiple Choice

Evaluate f(-2) if f(x) = x² + 5

• -1

• 1

• 9

• -9

Answer:

Evaluate f(-2) if f(x) = x² + 5

*Replace x with -2 and simplify!*

f(-2) = (-2)² + 5

= 4 + 5

= 9

(-2)² is POSITIVE 4!

Answer:

Determine f(4) if f(x) = x² + 4

*Replace x with 4 and simplify!*

f(4) = (4)² + 4

= 16 + 4

= 20

Answer:

Let g(x) = 5 - 2x

What is g(6)?

*Replace x with 6 and simplify!*

g(6) = 5 - 2(6)

= 5 - 12

= -7

Topic 2: Function vs. Relation (Not a Function)

A relation is a function if...

there is one output for each input!

How can you tell if a relation is a function?

Multiple Choice

What do we use to check if a graph is a function?

• Line of best fit

• Scatter plot

• Horizontal Line Test

• Vertical Line Test

Multiple Choice

Is the given table a function or not a function?

• Function

• Not a Function

Multiple Choice

Which set of values is a function?

(Hint: Look at the x-values on the left side! Do any repeat?)

• (9,5) (10,5) (9,-5) (10,-5)

• (3,4) (4,-3) (7,4) (3, 8)

• (6,-5) (7, -3) (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

Multiple Choice

Is this a function? Explain.

• Yes; it passes the vertical line test.

• No; it fails the vertical line test.

Multiple Choice

Function or not a function?

• Function

• Not a Function

Multiple Choice

Is the relation a function? Why.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

Multiple Choice

Is this table a function and how can you tell?

• No it's not a function because the x-value of 2 and 5 repeats

• Yes, it is a function because no x-values repeat.

Multiple Choice

Is this mapping a function and how can you tell?

• Yes its a function because all of the x-values only have one arrow.

• No it's not a function because the x value 5 has two arrows going to 2 and 9.

Multiple Choice

Which of the following graph is a function?

Topic 1: Graphing on a Coordinate Plane

• Parts of a Coordinate Plane

• Plotting Points

• Naming Coordinates

Multiple Choice

What point is represented by the ordered pair (3, 0)?

• A

• W

• B

• J

Multiple Choice

What ordered pair represents the location of POINT W?

• (0, -3)

• (-3, 0)

• (0, 3)

• (3, 0)

Multiple Choice

What ordered pair represents the location of POINT I?

• (-2, -5)

• (-5, -2)

• (2, 5)

• (5, 2)

Multiple Choice

The coordinates of the point where the number lines intersect are (0,0).

This point is called the:

• origin

• coordinate plane

• quadrant

• y-axis

Multiple Choice

Fill in the blank:

The ________________________ is the horizontal number line in a coordinate plane.

• y-axis

• x-axis

Multiple Choice

Which axis runs vertically?

• X-axis

• Y-axis

Multiple Choice

Give the coordinates for POINT H.

• (-1, 2)
• (1, -2)
• (-1, -2)
• (1 , 2)

Multiple Choice

Name the quadrant where POINT B is located.

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Multiple Choice

Name the quadrant where POINT C is located. 

• Quadrant I
• Quadrant II
• Quadrant III
• No Quadrant

The End! You made it!!!

If you need any additional help with these topics, you can complete the quiz review again, ask Mrs. Thornton for help, and/or check out the resources on Schoology!