2. Find the inverse of the function. Determine whether the inverse is also a function.
x f(x)
–6 10
0 4
2 4
6 10
4. True or False: The given function is one-to-one.
x h(x)
0 8
1 8
2 8
3 8
5. Determine whether the function is one-to-one.
x g(x)
–5 8
–1 4
0 0
2 –4
A) one-to-one
B) not one-to-one
6. Determine whether or not the inverse of the given function is a function.
x g(x)
–3 6
3 7
2 8
0 9
7. If the function f(x) = x2 + 16 is restricted to the domain D = {x | –4 ? x ? 4}, the restricted function will be one-to-one.
10. Suppose the doubling time for a bacterial culture is 9 days. That is, after a 9-day period, the original number of bacteria will have doubled. If the original number of bacteria was 520, the formula relating the number after time x is given by
N(x) = 520•2x/9
Use a calculator to find the number of bacteria present after 18 days. Round your answer to the nearest bacteria.
13. Convert the exponential form of the equation to logarithmic form.
84 = 4096
21. Use a calculator to approximate the antilogarithm of 1.303, correct to two decimal places.
22. Solve the exponential equation for x.
3x +1 = 9x+2
A) {–3}
B) {5}
C) {–4}
D) {9}
24. The population model P(t) = 10,000 e0.025t approximates the number of people in the region t years from now. Find the population 20 years from now.
A) 16,487
B) 16,607
C) 16,052
D) 205,063