Exponential Functions

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E

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

• (.27)^x

• .27

• 13

• 3.51

Is the following function an example of decay or growth?

f(x)=2(0.85)^x

• Exponential Decay

• Exponential Growth

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

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

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

What is the range of f(x) = 5^x?

• -∞ ≤ x ≤ ∞
• -∞ ≤ y ≤ ∞
• x > 0
• y > 0

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Given y=3^x determine the asymptote

• (0,1)
• (0,3)
• x=0
• y=0

Tags

CCSS.HSF-IF.C.7E

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(14)^x

• y=6(1.14)^x

• y=6(0.86)^x

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(.92)^x

• y=15,000(0.08)^x

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months? (Round to the nearest whole number)

• 9766

• 9006

• 9765

• 5433