Introduction to Exponential Functions

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Show your work for each problem.

1.
Which function is exponential?
1. a)
2. b)
3. c)
4. d)
2.
For , what is the y-intercept?
1. a)
2. b)
3. c)
4. d)
3.
Evaluate
4.
If , find
5.
Which describes exponential growth?
1. a)
2. b)
3. c)
4. d)
6.
Evaluate . Give your answer as a decimal.
7.
What is the horizontal asymptote of ?
1. a)
2. b)
3. c)
4. d)
8.
A population doubles every year. If you start with 100, find the population after 4 years.
9.
A radioactive substance has a half-life of 1 hour. If you start with 80 grams, how much remains after 3 hours?
10.
If , find . Give your answer as a fraction or decimal.
11.
You invest 500 dollars at 10% annual compound interest. How much will you have after 2 years?
12.
Write the exponential function that passes through and .
13.
Which statement about is TRUE?
1. a)The horizontal asymptote is
2. b)The y-intercept is 0.8
3. c)The function shows exponential growth
4. d)The function shows exponential decay
14.
A car depreciates by 15% each year. If it's worth 20000 dollars now, what will it be worth in 3 years? Round to the nearest dollar.
15.
Compare: Which is larger, or ?