Exponential Functions

Solve for b:

4^{3b - 3} = 1/16

• 3

• 1/3

• 1/2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(0.65)^x

Tags

CCSS.HSF.LE.A.2

In an exponential function, what does the 'm' represent?

• SLOPE

• RATE OF CHANGE

• STARTING VALUE (y-intercept)

• GROWTH FACTOR

Tags

CCSS.HSF.LE.B.5

Write the equation of the function below.

x y

0 1

1 4

2 16

3 64

• y = 1(4)^x

• y = 4(2)^x

• y = 1(1/4)^x

• y = 64 (1/4)^x

Tags

CCSS.HSF.LE.A.2

Identify the y-intercept in the function f(x)=13(.27)^x

• (.27)^x

• .27

• 13

• 3.51

Tags

CCSS.HSF-IF.C.7E

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

Tags

CCSS.HSF-IF.C.8B

Create an exponential equation using the data below.

growth factor= 12 y-intercept = 5

• y = 12x + 5

• y = 5x + 12

• y = 5(12)^x

• y = 12(5)^x

Tags

CCSS.HSF.LE.A.2

Which value represents the y-intercept?

x y

-2 4

-1 12

0 36

1 108

2 324

• 4

• -2

• 36

• 108

Tags

CCSS.HSF.LE.B.5

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

The function y = 125(1.13)^x represents Mr. Gantz's recent investments where x is measured in years.  Which is NOT true?

• Mr. Gantz initial invested $125

• Mr. Gantz's money grows by 13% per year

• After 4 years Mr. Gantz will have about $203.81

• Mr. Gantz earns more money in year one than in year 5

Tags

CCSS.HSF.LE.B.5