Functions (2023) Math 8

Each image shows the vertical line test to determine if the graph is a function or not a function.

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Functions:

yes or no

Multiple Choice

Is this graph a function or not a function? 

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• 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.

• No, because each x-value has only one y-value paired with it.

Multiple Choice

All of the x values or inputs are called what?

• Domain

• Range

• Relation

• Function

Multiple Choice

All of the y values or outputs are called what?

• Domain

• Range

• Relation

• Function

Multiple Choice

Is this mapping a function or not a function? 

• Function

• Not a Function

Multiple Choice

Is this set of ordered pairs a function or not a function? 

{(2,3) (1,3) (4,3) (7,3) (0,3)}

• Function

• Non Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Function 1: Rate of change (slope) 4

Function 2: Rate of change (slope) 4

Same rate of change (slope)

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​Comparing Linear Functions

Multiple Choice

Who has the greater rate of change?

• CJ has a greater rate of change with 13/2

• Holland has a greater rate of change with 6

• CJ has a greater rate of change with 2/13

• They have the same rate of change.

Multiple Choice

Who has the greater rate of change?

• Troy has the greater rate of change.

• Lucy has the greater rate of change 

• They have the same rate of change

Different ways to represent a function.

Verbal, graph, equation, and table

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Multiple Representations

Multiple Choice

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 

• y = 425x + 600

• y = 425 + 600x

• y = 400x + 625

• y = 400 + 625x

Multiple Choice

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same slope

Multiple Choice

Function A is represented by the equation y = 4x - 2. Function B is represented by the table.

Which of these functions has the greater rate of change?

• Function A. It's rate of change is -2.

• Function A. It's rate of change is 4.

• Function B. It's rate of change is 2.

• Function B. It's rate of change is 6.

Multiple Choice

Andy has $310 in his account. Each week, he withdraws $30 for his expenses.

Write a linear equation to represent the scenario.

• y = -310x + 30

• y = -30x + 310x

• y = 30x + 310

• y = -30x + 310

Multiple Choice

Jamal wants to buy a new game system that costs $200. He does not have enough money to buy it today, so he compares layaway plans at different stores. The plan at Store A is shown on the graph. Store B requires an initial payment of $60 and weekly payments of $20 until the balance is paid in full. Which statement is true?

• Store A requires an initial payment of $100

• Store A requires no initial payment

• Store B requires a $20 inital payment

• Store B requires a $200 initial payment

Multiple Choice

Derrick started a new job at McDonald's. He makes $10 per hour. Which graph models his total weekly earnings in terms of the number of hours he works?

Multiple Choice

Derrick started a new job at McDonald's. He makes $10 per hour. Which table models his total weekly earnings in terms of the number of hours he works?

Multiple Choice

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which table models the amount she charges over time?

Multiple Choice

Which function has the greatest rate of change?

• $$y=50+2x$$

• $$y=75+x$$

• $$y=3x$$

• $$y=6-2x$$

Multiple Choice

Which function has the least y-intercept?

• $$y=2x+10$$

• $$y=8+x$$

• $$y=3x$$

• $$y=6x-5$$