Exponential Functions

Exponential Functions

By Justin Groth

Exponential

Growth vs. Decay

If b > 1 then Growth

If b is a fraction

0

Both Graphs have a

Horizontal Asymptote

(graph never touches

the X-axis)

b^x cannot equal 0

Multiple Choice

Is the pictured graph increasing, decreasing, or neither?

• Increasing

• Decreasing

• Neither

Multiple Choice

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Multiple Choice

Is the pictured graph increasing, decreasing, or neither?

• Increasing

• Decreasing

• Neither

Multiple Choice

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Multiple Choice

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

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

Multiple Choice

If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?

• 3
• -3
• 1/3
• -1/3

Multiple Choice

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Multiple Choice

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Multiple Choice

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2
• 4
• (2)^x
• 8

Multiple Choice

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

• 2
• 4
• (2)^x
• 8

Multiple Choice

True or False: This is an exponential function.

• True

• False

Multiple Choice

True or False: This is an exponential function.

• True

• False

Multiple Choice

Which function models this table?

• $$f\left(x\right)=2\cdot4^x$$

• $$f\left(x\right)=4^x$$

• $$f\left(x\right)=4\cdot2^x$$

• $$f\left(x\right)=8^x$$

Multiple Choice

What is  $$\frac{1}{100}$$  written as a single power? 

• $$10^2$$  

• $$10^1$$  

• $$10^{-2}$$  

• $$10^{-3}$$  

Multiple Select

Which of the following has a ratio of 2? (select all that apply)

Multiple Choice

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

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

Multiple Choice

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Multiple Choice

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

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

Multiple Choice

Is this exponential growth or decay?

• Growth
• Decay

Multiple Choice

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither