Unit 4- Exponential Functions Build the Bouquet Unit 4- Exponential Functions

Using the function above, state the domain, range and asymptote. 𝑟(𝑥)= 5 𝑥 Using the function above, state the domain, range and asymptote.

You deposit $1500 in an account that pays 5% interest compounded quarterly. Find the balance after 6 years.

Determine the next 3 terms of the geometric sequence 0.2, 1.2, 7.2, 43.2, . . .

The mice population is 25,000 and is decreasing by 20% each year The mice population is 25,000 and is decreasing by 20% each year. Write a model for this situation. What will be the mice population after 3 years?

Given the exponential model y = 200( Given the exponential model y = 200(.80)x, tell whether the model represents exponential growth or decay. Then, tell what the growth/decay factor is and the growth/decay percent.

Determine the 7th term in the sequence defined by 𝑔(𝑛)=2· 1 2 𝑛−1

Solve for n 81 3𝑛+2 243 −𝑛 = 3 4

What is the explicit equation that represents the sequence 1, 4, 16, 64, 256, . . .

Solve for x 25 2𝑥−1 = 125 3𝑥+2

Solve for x 3 2𝑥−1 ≥ 1 243

Given the function y=2x Write the function g(x) that shows a stretch of 4, a horizontal shift of 2 units left and a vertical shift of 6 units down.

In a geometric sequence if the first term is 4, and the common ratio is 6 Write the recursive formula Write the explicit formula

Using the function above, state the Asymptote 𝑘(𝑥)= 1 3 𝑥 +5 Using the function above, state the Asymptote b) Interval of increase or decrease c) End behavior

Describe the transformation 𝑓(𝑥)=− 1 2 𝑥−3 +2

Using the information above state The common ratio 𝑎 𝑛 = 𝑎 𝑛−1 ⋅3 𝑎 1 =−3 Using the information above state The common ratio The first 5 terms of the sequence

Describe the differences in the bases between an exponential growth and exponential decay.

Kryptonite has a half-life of 2 years Kryptonite has a half-life of 2 years. There is 500 mg of Kryptonite left on planet Krypton. Superman cannot return home until the Kryptonite is below 50 mg. Can he return in 10 years? Explain

𝑚(𝑥)= 0.25 𝑥 +5 Use the function above to describe Domain Range Asymptote x-intercept y-intercept End behavior

The number of mosquitos at Virginia Beach has tripled every year since 2010. In 2010 there were 2500 mosquitos. How many mosquitoes would you predict would be at the beach in 2020?