5.2.1 Functions & Evaluating Functions

Hotspot

Which of the following tables are functions

Multiple Select

Which relation map represents a function?

Select all that apply.

• Mapping 1

• Mapping 2

• Mapping 3

• Mapping 4

Multiple Choice

Which of the following statements about domain and range is true?

• Domain values are input values and range values are output values

• Domain values are output values and range values are input values.

• Domain and range values are both input values

• Domain and range values are both output values.

Reorder

Order the following statements so they accurately describe how to perform a vertical line test.

• Create a graph from a table of values.

• Observe the graph.

• Draw one or more vertical lines that intersect the graph of the values

• Note how many times the lines intersect the graph.

• Determine if the relation is a function.

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Hotspot

Which of the following images represent graphs of functions?

Open Ended

Do the values in the table represent a function? How do you know?

Match

Match each part of g(x) = 2x – 7 in function notation with the corresponding label.

• Name of the function

• Input Value

• Output Value

• Rule

g

x

g(x)

2x - 7

• g

• x

• g(x)

• 2x - 7

Math Response

For g(x) = -4x + 2

Solve g(-3)

Type answer here

Correct Answer: 14

Deg^°

Rad

Math Response

For g(x) = -4x + 2

Solve g(0)

Type answer here

Correct Answer: 2

Deg^°

Rad

Math Response

For g(x) = -4x + 2

Solve g(8)

Type answer here

Correct Answer: -30

Deg^°

Rad

Match

Max works at a convenience store and is paid $15.00 per hour.

The f(x) = 15x function represents the amount of money he makes for each hour x he works.

Match the evaluation and interpretation of each value of the function to the correct label

• Evaluation of f(7)

• Interpretation of f(7)

• Evaluation of f(12)

• Interpretation of f(12)

105

He earn $105

180

He earns $180

• 105

• He earn $105

• 180

• He earns $180

Draw

Let f(x) = 3x – 7. Given the domain {-4, -2, 0, 4}, find the range.

Fill in the missing values

Multiple Select

Which of the follow statements are true based on the function f(x) = 2.5x and the table.

• The output values increase by 5 as the input values increase by 2

• The input and output values are increasing.

• The input values increase by 5 as the output values increase by 2.

• The input and output values are decreasing.

Multiple Select

Michelle is practicing her long- distance running for the track. The function f(x) = 5x + 3 represents the total miles she ran per hour x.

Evaluate f(4) and interpret the function if Michelle runs for 4 hours.

Which of the following are true

• f(4) = 23

• After running for 4 hours, her distance is 23 miles.

• f(4) = 17

• After running for 4 hours, her distance is 17 miles.

Multiple Choice

Michelle is practicing her long-distance running for the track. The function f(x) = 5x + 3 represents the total miles she ran per hour x.

If Michelle’s goal is to run 30 miles this week, will she reach that goal after running 7 hours?

• Yes, she will reach her goal because her distance will be 105 miles after 7 hours

• A.Yes, she will reach her goal because her distance will be 38 miles after 7 hours.

• A.No, she will not reach her gal because her distance will be 26 miles after 7 hours.

• No, she will not reach her goal because her distance will be 15 miles after 7 hours

Reorder

Order the steps correctly to evaluate the function g(x) = -5x – 3 for g(-7).

• g(x) = -5x – 3

• g(-7) = -5 (-7) – 3

• g(-7) = 35 - 3

• g(-7) = 32

1

2

3

4

• 1
• 2
• 3
• 4

Math Response

An electrician charges $30 per hour. The function f(x) = 30x + 75 represents the amount of money the electrician makes for each hour x.

Evaluate and interpret function for f(4).

Type answer here

Correct Answer: 195

Deg^°

Rad

Fill in the Blanks