Basics of Exponential Functions

​Exponential Functions

a = y - intercept

b = growth or decay

c = asymptote

Multiple Choice

Does the graph represent an exponential growth or an exponential decay function?

• Exponential Growth
• Exponential Decay

Multiple Choice

Is the graph exponential growth or decay?

• Exponential growth
• Exponential decay

Multiple Choice

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Multiple Choice

This is an example of: $$f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Open Ended

How do you know an exponential function is showing GROWTH?

Sentence Stem:

I know it is growth because

Open Ended

How do you know an exponential function is showing DECAY?

Sentence Stem:

I know it is decay because

Multiple Choice

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

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

Multiple Choice

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Multiple Choice

What is the asymptote of y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Multiple Choice

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)

Multiple Choice

What is the equation of the horizontal asymptote for following exponential function?

• y = -2

• y > -2

• y < -2

• (0, -2)

Multiple Choice

What is the equation of the horizontal asymptote for following exponential function?

• y = 6

• y = 5

• y < 5

• (0, 5)

Multiple Choice

Find the exponential model of the function.

• y = 100(8.8)^x
• y = 100(1.88)^x
• y = 100(.88)^x
• y = 100(.12)^x

Multiple Choice

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X
• Y = 81.6(2.7)^X
• Y = 8.16(.27)^X
• Y = 8.16(27)^X

Multiple Choice

What is the equation of this table?

• y=512(1/4)^x
• y=32(4)^x
• y=32(1/4)^x
• y=512(4)^x