Algebra 2 7.1 and 7.1 Quiz

Which of the following equations represents exponential decay?

• 4x^1/5

• y = 1/5 x⁴

• y = 1/5 (4)^{x -1}

• y = 4(1/5)^{x + 2}

George put his birthday paycheck of $150 in an account that earned 9.5% annual interest compounded weekly. How much was in his account after 7 years?

Lexie bought a new car for $32,000. It is expected to depreciate at a rate of 19.6% for the next 10 years. What will the value of the car be after 10 years?

Derek bought a rare baseball card for $270. After 5 years, he sold the card for $850. Assuming the card appreciated at the same rate each year, what was the rate?

Solve the following equation by obtaining the same base:

4^{2x – 1} = 64^{x + 2}

Solve the following equation by obtaining the same base:

(1/6)^{x – 8} = 36 ^{-3x + 5}

List the Domain, Range and Asymptote of the following function.

 $f\left(x\right)\ =\ 2\left(\frac{2}{3}\right)^{x-5\ }-2$  

State the Domain, Range and Asymptote for the graphed function.

Write the equation of a function that represents exponential growth.

Which function is shifted 5 units right and 7 units down from the function   $f\left(x\right)\ =\ -2\left(3\right)^x$  .

•  $f\left(x\right)\ =-2\left(3\right)^{x+5}+7\$  

•  $f\left(x\right)\ =-2\left(3\right)^{x+5}-7\$  

•  $f\left(x\right)\ =-2\left(3\right)^{x-5}+7\$  

•  $f\left(x\right)\ =-2\left(3\right)^{x-5}-7\$