10.4 Exponential Functions

In an exponential function y = ab^x, what does the 'a' represent? 

• slope
• rate of change
• y-intercept
• common ratio

Tags

CCSS.HSF.LE.B.5

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• Quadratic

Tags

CCSS.HSF-IF.C.8B

The value of a sculpture is increasing 5% every month. The original value of the sculpture is $6,400. Identify the exponential growth function to model this situation.

• y = 6400(1.5)^t
• y = 6400(1.05)^t
• y = 6400(0.95)^t
•  6400(15)^t

Tags

CCSS.HSF.LE.A.2

Write the equation that represents the table below:

• y=1/2(4)^x
• y=2(4)^x
• y=4(2)^x
• y=4(1/2)^x

Tags

CCSS.HSF.LE.A.2

State the domain of the exponential function. 

• x<0
• x>0
• all real numbers 
• none of these

Tags

CCSS.HSF-IF.C.7E

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

James' 70 inch giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Tags

CCSS.HSF.BF.A.2

State the range of the exponential function. 

• y<0
• y>0
• all real numbers 
• none of these

Tags

CCSS.HSF-IF.C.7E

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. About how many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF-LE.A.1C

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Tags

CCSS.HSF-IF.C.7E