Define the set of values of the function y = -5Sinx + 3

We have a function that is given by the following formula:

y = -5 * sin x + 3;

Let’s define the set of values that it can take.

Sine is a trigonometric function, the values of which will always be in the range from -1 to 1, regardless of the argument, including the ends.

We write this as a double inequality:

-1 <= sinx <= 1; Multiply all parts of the equality by -5:

-5 <= -5 * sinx <= 5; Add a triple to all parts of the inequality:

-2 <= -5 * sinx + 3 <= 8.

The function range is all numbers from -2 to 8, including the ends.