Comparing Properties of Functions

Line m has the same y-intercept as _________.

• line q

• y = 2x - 3

• y = -3x

How long will it take the virus with an exponential model to overtake the virus with a linear model in number of infections? Round to the nearest week.

• About 4 weeks

• About 5 weeks

• About 6 weeks

• About 7 weeks

Landon has the option to choose between two investment opportunities. One investment can be modeled with exponential growth. The other investment can be modeled with a quadratic function. The amount of money Landon would have with each investment after x years can be shown in the accompanying graph.

Which investment has the largest initial value?

• The quadratic investment

• The exponential investment

• The linear investment

• They have the same initial value

Landon has the option to choose between two investment opportunities. One investment can be modeled with exponential growth. The other investment can be modeled with a quadratic function. The amount of money Landon would have with each investment after x years can be shown in the accompanying graph. If Landon is only planning to invest for exactly 10 years, which option should he choose? Justify your answer.

• The quadratic investment because it has a vertex when x = 10.

• The exponential investment because the quadratic investment is decreasing after 10 years.

• The quadratic investment because it is worth more after 10 years.

• The exponential investment because exponential growth always outpaces quadratic growth over time.

Landon has the option to choose between two investment opportunities. One investment can be modeled with exponential growth. The other investment can be modeled with a quadratic function. The amount of money Landon would have with each investment after x years can be shown in the accompanying graph.

When will the quadratic investment be worth $0?

• When x = 320

• When x = 9

• It never reaches $0

• When x = 20

Who has the greater rate of change?

• CJ has a greater rate of change with 6.5

• 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.

Who has the greater slope?

• Tyler has the greater slope with 2/3

• Aubri has the greater slope with 3/2

• Tyler has the greater slope with 3/2

• They have the same slope.

Who has the greater rate of change?

• Smith has the greater rate of change.

• Harmon has the greater rate of change.

• Macey has the greater rate of change.

• They have the same rate of change

Which company shows a greater slope?

• Water's Edge Rafts

• Ryan's Rafts

Equation A:   y = 2x + 3
Equation B:   y = 3x - 3
Which equation has a higher slope? 

• Equation A

• Equation B

• They have the same slope