Exponential Functions and Geometric Sequences

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

• Exponential Growth
• Linear
• Exponential Decay
• Quadratic

Tags

CCSS.HSF-IF.C.8B

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

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

What is the pattern you see in this table?

• Common Ratio = 1/3
• Common Difference = 8
• Common Ratio = 3
• Common difference = 3

Tags

CCSS.HSF.BF.A.2

Which equation matches the graph?

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

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

Jame's 70 in. 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

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

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.BF.A.2

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