IM Alg2.6.9 Practice: Introduction to Trigonometric Functions

Which statement is not true for the function  given by , for values of  between 0 and ?

Angle , measured in radians, satisfies . What could the value of  be? Select all that apply.

Which is the graph of ? Explain how you know.

Which is the graph of ? Explain how you know.

Which statements are true for both functions  and ? Select all that apply.

Here is a graph of a function . The function  is either defined by  or . Which definition is correct? Explain how you know.

The minute hand on a clock is 1.5 feet long. The end of the minute hand is 6 feet above the ground at one time each hour. How many feet above the ground could the center of the clock be? Select all that apply.

Here is a graph of the water level height, , in feet, relative to a fixed mark, measured at a beach over several days, . Explain why the water level is a function of time.

Describe how the water level varies each day.

What does it mean in this context for the water level to be a periodic function of time?