1/12 Comparing Properties of Linear/Quad/Exponential Functions

Which statement below is TRUE regarding the two functions?

• Both functions are linear

• Both functions are increasing

• Both functions have a y-intercept of 1

• Both functions are exponential growth

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

CCSS.HSF.LE.A.3

Which statement below is TRUE regarding the functions pictured?

• Both functions have a y-intercept of 3

• Both functions are increasing

• Both functions are linear

• Both functions have a MULTIPLYING pattern

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?

• 2 minutes
• 4 minutes
• 7 minutes
• 10 minutes

Tags

CCSS.7.EE.B.3

• f(x)

• g(x)

• h(x)

• f(x) and h(x) (they have the same initial amount)

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.SSE.A.1

• f(x)

• g(x)

• h(x)

• All of them

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.C.9

CCSS.HSF.LE.A.3

CCSS.HSA.CED.A.1

• About 4 weeks

• About 5 weeks

• About 6 weeks

• About 7 weeks

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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.

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.3

CCSS.HSA.CED.A.1

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4