Inverse of a Function — Unit test Answers

A circular crop field has an irrigation system in which a pipe, with one end attached to a tower at the center of the field, turns continuously to deliver water. The horizontal distance, in meters, from the tip of the pipe to the farmhouse is represented by y = , where x represents time in hours.

It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches.Which function models the horizontal displacement as a function of time in seconds?

Which point does the graph of the parent function pass through?

Which trigonometric functions have the same maximum value?

What is the value of sin-1(1)?

Consider the graphs of j(x) = and k(x) = .Which feature of the graph of k(x) is different from the graph of j(x)?

Let cot(x) = , with 0 < x < 90°. What is sin(x)?

Which graph represents ?

Judy knows that the function graphed below is a transformation of the parent function . Since the period and asymptotes are the same as those of the parent function, she knows that there were no horizontal stretches, compressions, or translations. She can also tell that there were no reflections since the general shape of the graph is the same as that of the parent function. Which statement is correct regarding the transformations that were applied?

Which expression is undefined?

The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldest month in Beijing is 18°F. The function , where m represents the number of months after January, models the temperature throughout the year in Beijing.During which month in the year would the temperature reach 55°F?

Which of the following is the equation of the function below?

What is the domain of the function ?

What is the amplitude of the cosine function corresponding to the secant function graphed below?

Review the graph of y = sin(x).