What is the range of `f(x)=-7 sin.(x)/(8)` ?

Options

A. All real numbers greater than or equal to `-7` and less than or equal to 7
B. All real numbers greater than or equal to -7 and less than or equal to 0
C. All real numbers greater than or equal to 0 and less than or equal to 8
D. All real numbers greater than or equal to 0 and less than or equal to `(1)/(8)`

Answer

A

Explanation

The first number in the function gives the amplitude of the function. A sine curve like the one in the function moves up and down between this value and its inverse. So the range of values is the real numbers between -7 and 7.
You could use a graphing calculator to answer this question by use a graphing calculator to answer this question by observing the range of y values for the function.