Algebra 2 Exponential Functions Rate Manipulation

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

Identify each function as representing exponential growth or decay.
f(x) = 4(0.89)^x

• growth

• decay

Tags

CCSS.HSF-IF.C.8B

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

Tags

CCSS.HSF-IF.C.7E

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

• (.27)^x
• .27
• 13
• 3.51

Tags

CCSS.HSF.LE.B.5

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Tags

CCSS.HSF-IF.C.7E

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Use the function, M=.05(2)^t, where M is the amount of money you have after t days.
What is the y-intercept?

• (0, .05)

• (0,2)

• (0, .1)

• (0,0)

Tags

CCSS.HSF-IF.C.7E

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

Tags

CCSS.HSF-IF.C.8B