Logarithms and Exponential Functions Calculus

Which function has a horizontal asymptote?

• exponential

• logarithm

• both

• neither

Tags

CCSS.HSF-IF.C.7D

Identify the logarithmic function that would fit the restrictions below.

1. Horizontal shift 5 units right

2. Vertical shift 3 units down
3. Dilation by a factor of 5

Which of the following is an incorrect conclusion of the animation?

• Exponential and logarithmic functions can be written in terms of each other

• Exponents and logarithms form the same functions

• Exponential and logarithmic functions are inverses of each other

Tags

CCSS.HSF.BF.B.5

You invest $5,000 in a bank account with an interest of 10% compounded continuously. At the end of 8 years, you take all your money out the bank, and use $100 immediately. Which function below best represents this information?

• None of the above

• A
• B
• C
• D

Condense
no calculator

• A

• B

• C

• D

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)

Tags

CCSS.HSF.LE.A.2

What equation matches the graph?

• f(x) = 3^x

• f(x) = (⅓)^x

• f(x) = log₃(x)

Tags

CCSS.HSF.LE.A.2

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

ln e⁵= 

• e⁵

• ln 5

• 5

• 5e

Tags

CCSS.HSF.BF.B.5