Practice Exam 2 MCQ, Part A - No Calculator Allowed

• -4

• -2

• 0

• 2

The function f is given by f(x) = log_2 x. What input value in the domain of f yields an output value of 4?

• 32

• 16

• 2

• 1/2

• log_3 5 + log_3 x

• log_3 5 · log_3 x

• 5 log_3 x

• log_3 x / log_3 5

• h is always increasing, and the graph of h is always concave up.

• h is always increasing, and the graph of h is always concave down.

• h is always decreasing, and the graph of h is always concave up.

• h is always decreasing, and the graph of h is always concave down.

In the xy-plane, the graph of a rational function f has a hole at x = 2. Input values of f sufficiently close to 2 correspond to output values arbitrarily close to 6.

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At time t = 0, water begins pouring into an empty container at a constant rate. The water pours into the container until it is full. The situation is modeled by the given graph, where time, in seconds, is the independent variable and the depth of water in the container, in centimeters, is the dependent variable.

For which of the following containers would the graph be appropriate?

• A cylindrical container with uniform cross-section

• A container that is wider at the top than at the bottom

• A container that is narrower at the top than at the bottom

• A container with an irregular shape

At time t = 0 years, the population of a certain city was 23,144. During each of the next 10 years, the population decreased by 4% per year. Based on this information, which of the following models the population as a function of time t, in years, for 0 ≤ t ≤ 10?

• (A)

• (B)

• (C)

• (D)

The location of point X in polar coordinates (r, θ) is (1, 5π/6). Which of the following describes the location of point X in rectangular coordinates (x, y)?

• (−√3/2, 1/2)

• (√3/2, 1/2)

• (1/2, −√3/2)

• (1/2, √3/2)