Exponential Functions Review

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

Is this exponential growth or decay?

• Growth

• Decay

Is the pictured graph growth, decay, or linear or none?

• Growth

• Decay

• Linear

• None

Determine the asymptote for the function

f(x)=3(2)^x-4+5

• x=4

• y=4

• x=5

• y=5

Determine the range for the function

f(x)=3(2)^x-4+5

• [5,∞)

• (5,∞)

• [4,∞)

• (4,∞)

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

What is 'a' the for the function: f(x) = 300(1.16)^x?

(Hint: look at the initial amount)

• 300

• 1.16

• .16

• x

Which scenario represents exponential growth?

• A water tank is filled at a rate of 2 gallons per minute

• A vine grows 6 inches every week

• A species of flies doubles its population every month.

• a car increases its distance from a garage as it travels at a constant speed of 25 miles per hour

Which function is shown in the table?

• f(x) = 3x

• f(x) = x + 3

• f(x) = -x³

• f(x) = 3^x

The equation A = 1300(1.02)⁷ is being used to calculate the amount of money in a savings account. What does the 1.02 represent in this equation?

• 0.02% decay

• 0.02% growth

• 2% decay

• 2% growth