Exponents and Exponential Functions

A scientist studied bacteria. She placed 5 bacteria in a dish. The population of the bacteria doubles every 12 hours.
Which equation can be used to determine the number of bacteria, y, present after x days?

• y = 5(2)^x
• y = 5(10)^x
• y = 5(2)^2x
• y = 5(10)^2x

Tags

CCSS.HSF.LE.A.2

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

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

Tags

CCSS.HSF-IF.C.8B

If f(x) = 2x-9, what is f(3)?

• 6
• -3
• 3
• -6

Tags

CCSS.HSF.IF.A.2

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

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

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Tags

CCSS.8.EE.A.1

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

James' 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