Exponential Functions

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

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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(1.15)^x

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

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

• Growth
• Decay
• Linear
• None

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

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

• 2
• 4
• (2)^x
• 8

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