Exponential Functions Rate of Change

What is the average rate of change between when x = -1 and x = 0?

• -2

• 2

• 1/2

• -1/2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

James bought a car worth $22,000 that loses 10% of its value every year. The value of the car after x years can be modeled by the function f(x) = 22,000(.9)^x.

What is the average rate of change between 0 and 4 years?

• $-1,100/year

• $-1521.12/year

• $-1,776/year

• $-1,891.45/year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Iris founded a new town, Iristown. The population of Iristown after x years can be modeled by the function p(x) = 1500(1.1)^x. On average, how fast is the population increasing between years 0 and 10?

• 212.12 people/year

• 251.11 people/year

• 239.06 people/year

• 391.29 people/year

Tags

CCSS.HSF-IF.C.8B

What is the average rate of change over the interval [0,3]?

• 21

• -21

• 1/21

• -1/21

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Tags

CCSS.HSF.LE.A.2

The number of grams, y, of a radioactive element that remains after t hours can be modeled by the equation y=2.45(0.84)^t. What is the rate of increase or decrease of this radioactive element?

• 16% increase per hour

• 84% increase per hour

• 84% decrease per hour

• 16% decrease per hour

Tags

CCSS.HSF-IF.C.8B

An exponential function has a __________ rate of change

Tags

CCSS.HSF-IF.C.8B

What is the average rate of change of the graph over the interval [-2,0]?

• -3/2

• 2/3

• 3/2

• -2/3

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the average rate of change between x = 1 and x = 2?

• 9

• 10

• 11

• 12

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change over the given interval [-1, 1].

• 3

• 1.5

• 1

• 0.67

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6