Review - 3.1-3.3

It is known that the period of g is an integer between 5 and 15. Which of the following is the period of g?

• The period of g could be 5, 6, or 12.

• The period of g could be 5 or 12.

• The period of g could be 6 or 12.

• The period of g is 12.

The function f is periodic with a period of 4. Which of the following must be true for all x where f(x) is defined?

• The graph of g will obtain a local minimum at x = 31 only.

• The graph of g will obtain local minima at x = 31 and x = 33 only.

• The graph of g will obtain a local maximum at x = 31 only.

• The graph of g will obtain local maxima at x = 31 and x = 33 only.

• It is impossible to determine without more precise labeling of the graph.

• • - 2

• • - 1/2

• 1/2

• 2

An air traffic controller is working with software that specifies the location of planes in terms of an angle and the distance away from the control tower. The angle can be considered an angle in standard position in the coordinate plane if the control tower is at the origin.

The air traffic controller spots a certain plane that is 5 miles away at an angle of 3 radians. Which of the following best describes the location of the plane respective to the control tower in terms of a cardinal direction?

Evaluate: sin 0.

• -1

• 1

• 0

• undefined