Exponential and Logarithmic Functions Practice Test
1. The population of a pod of bottlenose dolphins is modeled by the function , where t is given in years. To the nearest whole number, what will the pod population be after 3 years? 2. Find an exponential equation that passes through the points (0, 4) and (2, 9). 3. Drew wants to save $2,500 to go to the next World Cup. To the nearest dollar, how much will he need to invest in an account now with 6.25% APR, compounding daily, in order to reach his goal in 4 years? 4. An investment account was opened with an initial deposit of $9,600 and earns 7.4% interest, compounded continuously. How much will the account be worth after 15 years? 5. Graph the function and its reflection across the y-axis on the same axes, and give the y-intercept. 6. The graph shows transformations of the graph of . What is the equation for the transformation?![Graph of f(x)= (1/2)^x.](https://courses.lumenlearning.com/vccs-mth163-17sp/wp-content/uploads/sites/1621/2015/06/CNX_PreCalc_Figure_04_08_240.jpg)
x | f(x) |
1 | 3 |
2 | 8.55 |
3 | 11.79 |
4 | 14.09 |
5 | 15.88 |
6 | 17.33 |
7 | 18.57 |
8 | 19.64 |
9 | 20.58 |
10 | 21.42 |
x | f(x) |
1 | 20 |
2 | 21.6 |
3 | 29.2 |
4 | 36.4 |
5 | 46.6 |
6 | 55.7 |
7 | 72.6 |
8 | 87.1 |
9 | 107.2 |
10 | 138.1 |
x | f(x) |
3 | 13.98 |
4 | 17.84 |
5 | 20.01 |
6 | 22.7 |
7 | 24.1 |
8 | 26.15 |
9 | 27.37 |
10 | 28.38 |
11 | 29.97 |
12 | 31.07 |
13 | 31.43 |
x | f(x) |
0 | 2.2 |
0.5 | 2.9 |
1 | 3.9 |
1.5 | 4.8 |
2 | 6.4 |
3 | 9.3 |
4 | 12.3 |
5 | 15 |
6 | 16.2 |
7 | 17.3 |
8 | 17.9 |