Question

A function is defined by the equation y=-3x - 4. If the domain is 1 ≤x≤ 5,

what is the smallest number in the range (y) of the function?

Answer 1

y = -19

Explanation:

The equation has a negative slope (-3). This means the y value decreases as x increases. Since the maximum value for x is 5 (≤5), we know that the value produced when x = -5 will result in the smallest value of y.

In this case,

y = -3x - 4

y = -3(5) - 4

y = -19

See attached graph.