Question

What is the range of the values for y, if y = -5x + 2 and -2 < x< 1 ? a. -12 < y < -3 b. -3 < y < 3 c. -3 < y < 12 d. 0 < y < 12 e. -3 < y < 0

Answer 1

c. -3 < y < 12

Explanation:

It's a linear function.

We just need to calculate the y value for x = -2 and x = 1.

We have the equation:

y = -5x + 2

Substitute:

x = -2 → y = -5(-2) + 2 = 10 + 2 = 12

x = 1 → y = -5(1) + 2 = -5 + 2 = -3

For -2 < x < 1, -3 < y < 12.