Exponential Functions

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Is y = 4(.20)^x growth or decay?

• Growth

• Decay

What is the initial amount for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

What is the log form of a = e^y ?

• ln(a) = y
• ln(y) = a
• log(a) = y
• log(y) = a

The natural logarithm has what base?

• 10
• 0
• e
• -e

Solve for x:
e^2x = 11

• x = (LN 11)/2
• x = 2log_e11
• x = 2eLOG 11
• x = LN (11/2)

Solve 3e^5x - 6 = 24 to 3 decimal places.

• 0.227

• 2.303

• 0.736

• 0.461

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2