Checkpoint #12 | Precalculus | Unit 6 Test

The radius of the circle shown is 5 inches. Find the length of arc BC.

• 2.5 inches

• 5 inches

• 2.5π inches

• 12.5 inches

Two periods of a periodic function y = g(x) are shown. Find g(81).

• 0

• 3

• 5

• 8

• −0.91

• −0.42

• 0.91

• [−d, d]

• [−a, a]

• [a − c, a + c]

• [d − a, d + a]

The equation for the graph below is given by y = g sin(hx). Find the values of g and h.

• g = 0.5, h = π/3

• g = 1, h = 3

• g = 0.5, h = 3

• g = 0.5, h = 6

Which of these is not equivalent to the other three?

• Every angle with measure of an odd multiple of π is coterminal with an angle of measure π and cos π = –1.

• The cosine of every angle that is a multiple of π is –1.

• 127π lines up with the bottom of the unit circle where the y-value is –1.

• The graph of f has a y-intercept at y = 1.

• The graph of f has an absolute minimum at x = π/2.

• The graph of f is decreasing on the interval (0, π/2).

• The graph of f has a rate of change of 0 at x = 3π/2.

Identify the midline, amplitude, domain, and range of the sinusoidal function shown in the graph.

Mathematical Equivalence

ON

Identify the midline, amplitude, domain, and range of the sinusoidal function shown in the graph.

Midline = ​ (a)  

Amplitude = ​ (b)  

Domain = ​ (c)  

Range = ​ (d)  

• 3
• 2
• 1