Study Guide: Topics 3.8-3.10

• 1

• √2

• 1/√2

• 2

• 1

• -1

• 0

• undefined

• -1/√3

• 1/√3

• √3

• -√3

• π/3

• π/2

• π

• 2π

The graph of the function g is shown in the xy-plane. Which of the following statements is true?

• For 0 < x < 2π, the graph of g is increasing at an increasing rate.

• For 0 < x < 2π, the graph of g is increasing at a decreasing rate.

• For 0 < x < 2π, the graph of g is decreasing at an increasing rate.

• For 0 < x < 2π, the graph of g is decreasing at a decreasing rate.

The graph of the function f is given in the xy-plane. If f(x) = atan(bx), where a and b are constants, which of the following is true?

• A) a > 0 and b > 1

• B) a > 0 and b < 1

• C) a < 0 and b > 1

• D) a < 0 and b < 1

The graph of the function h is given in the xy-plane. If h(x) = tan(bx) + d, where b and d are constants, what are the values of b and d?

• b = π/4 and d = 0

• b = π/4 and d = 1

• b = 4π and d = 0

• b = 4π and d = 1

In order to define the inverse trig functions: The domain of the sine function must be restricted to _________________.

• [-π/2, π/2]

• [0, π]

• [-π, π]

• [π/2, π]