Interactive Lesson: Exponential Functions

Interactive Lesson

Exponential Functions

Multiple Choice

Which of the following is an exponential function?

• y = x²

• f(x) = 3x³

• y = x³

• f(x) = 3^x

Remember

Linear functions have a constant rate of change (as x increases, y increases by constant addition or subtraction.

Exponential functions have a constant multiplier (as x increases, y increases by multiplication).

Multiple Choice

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

Multiple Choice

What is the Range of this function?

• y> 0

• x> 0

• All Real Numbers

• y= 1

Multiple Choice

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

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

Multiple Choice

Which equation describes the story below?
You have $5 and triple your money every day. 

• y=5(3)^x
• y=5^x
• y=5(3x)
• y=15^x

Multiple Choice

Which of the followings functions shows an initial amout of $15 and an increase of 35% ?

• y=15(35)^x

• y=15(1.35)^x

• y=15(0.35)^x

• y=35(15)^x

Multiple Choice

This graph shows a population study about rabbits. According to the graph, how many rabbits did the study start with?

• 2

• 3

• 1

• -2

Multiple Choice

What is the y-intercept in y=4(2)^x

• (4,0)

• (0,2)

• x

• (0,4)

• (4,2)

Multiple Choice

Write the exponential regression equation for the 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

Multiple Choice

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Multiple Choice

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Multiple Choice

What does r represent?

• Radical

• Common difference

• Common ratio