Unit Test — Unit test Answers

Which of the following is an odd function?

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

Given and , for which value of does ?

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

Given , find f(7).

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

If a(x) = 3x + 1 and , what is the domain of ?

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

Environmentalists estimate an annual population decrease of giraffes in the wild of 3.5% due to development. This can be modeled by the function p(x) = 140,000(0.965)x, where x is the number of years of tracking the populations. Conservationists have developed a sanctuary that has shown the ability to increase the population by 0.85% per year. The increase can be modeled by the function S(p) = p(1.0085)x.

Which graph shows h(x) = (f(x))(g(x))?

The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

Which of the following is an even function?

Which graph represents the same relation as the table below?xf(x)–25011–12–3

If h(x) is the inverse of f(x), what is the value of h(f(x))?

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

When is solved for w, one equation is Which of the following is an equivalent equation to find w?