Module 7 - Exponentials

Match the following formulas with the scenarios that would use them to find the answer:

Jared invested $800 in an account that earns 4.2% interest compounded monthly. How much money will he have in 5 years? Round your answer to the nearest cent.

Just type the number in as your answer, no $.

John also invested $800 in an account that earns 4.2% interest compounded continuously. How much money will he have in 5 years? Round your answer to the nearest cent.

Just type the number in as your answer, no $.

The value of a Honda Civic decreases by 27% each year. The initial cost of the car is $28000. Write a function rule for the situation.

use the ^ key for an exponent. Example: x² is x^2

Do not type any spaces

(a)  

Which of the following is NOT true about the function below:

$$f\left(x\right)=4^{\left(x+7\right)}-9$$

Solve the following equation. Fill in the blank with the correct value.

DO NOT put x= in your answer. ONLY the number

$$2^{\left(4x+1\right)}=8^{\left(x-5\right)}$$

Eva bought a Chanel Purse for $3500. The value of the purse increases 5% each year. How much will the purse be worth in 8 years?

Round your answer to the nearest cent.

What equations could be used for the function g(x)?

Equation 1 (whole number base): ​ (a)  

Equation 2 (not a whole number base): ​ (b)  

State the transformations from the parent function for the equation $$h\left(x\right)=2\cdot4^{\left(x+6\right)}+7$$

a =​ ​ (a)   h = ​ (b)   k = ​ (c)  

Transformation:

The graph was ​ (d)   , shifted ​ (e)   6 units, and shifted up 7 units

State the following for the equation $$h\left(x\right)=2\cdot4^{\left(x+6\right)}+7$$

Horizontal Asymptote: ​ (a)  

Domain: ​ (b)  

Range: ​ (c)