Pre Calc Solving Exponentials with Logarithms

A household appliance loses its value after it is purchased. Its current value, V(t), can be modeled by the function, V(t)= V₀(3/4)^t, where V₀ is the original price, and t is the number of years. How long will it take for a refrigerator initial cost $850 to be worth $65? Round to the nearest year.

• 9 years

• 13 years

• 8 years

• 10 years

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

Tags

CCSS.HSF.LE.A.2

Find the asymptote for the following.

• x = -1

• x = 1

• y = 5

• y = -5

Tags

CCSS.HSF-IF.C.7E

What is the asymptote of this function:
 f(x) = 2^x-1 + 3

• x = 1

• x = -1

• y = 3

• y = - 3

Tags

CCSS.HSF-IF.C.7E

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Tags

CCSS.HSF-BF.B.4A

How are exponentials and logarithms related?

• They're cousins

• They're inverses

• They're not related

• They're reciprocals

Tags

CCSS.HSF.BF.B.5

Where is the asymptote?

• x = 1

• y = 1

• x = -1

• y = -1

Tags

CCSS.HSF-IF.C.7E

What is the domain?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the base?

• 1

• 5

• 10

• 3

Tags

CCSS.HSF.BF.B.5

What is the domain of log(x)?

• (-∞, ∞)

• [0, ∞)

• (0, ∞)

• (∞, -∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5