Compare Exponential Functions

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Tags

CCSS.HSF-IF.C.7E

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1 + .08)^x
• y=15,000(1 - .08)^x
• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

What is the asymptote of the graph?

• x=2

• y=-2

• y=0

• y=-1

Tags

CCSS.HSF-IF.C.7D

Compare the following functions:

f(x) = 100(1.25)^x

g(x) = 100(1.02)^x

Which function has the greater rate of change? What is the growth rate?

• f(x)

  125%

• g(x)

  102%

• f(x)

  25%

• g(x)

  2%

Tags

CCSS.HSF-IF.C.8B

Consider the following salary options. Which option would be best if you plan to remain at this job for 5 years?

Calculate the salary after 5 years for both options then compare.

Option A

f(x) = 54,000(1.055)^x

Option B

Starting salary of $51,500 with a yearly

increase of 8%

(a)  

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

This graph models y = (0.2)^x - 3. Which statement describes what happens to the y value as x increases?

• As the value of x becomes very large, the value of y approaches - 0.2.

• As the value of x becomes very large, the value of y approaches -3.

• As the value of x becomes very large, the value of y approaches -2.

• As the value of x becomes very large, the value of y will gradually

  decrease to negative infinity.

Tags

CCSS.HSF-IF.C.7E

Compound Interest.

 Suppose Karen has $2000 that she invests in an account that pays 3% interest compounded quarterly. How much money does Karen have at the end of 5 years?

• $2,322.37

• $8,495.70

• $2,321.94

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Find the average rate of change over the given interval. 

• 4
• 7
• 7/3
• 3/7

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change for the table above for the interval [-4,-1].

• -84

• -54

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6