Question

Find the range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​

Answer 1

The range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

Answer 2

The range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23

Explanation:

We need to find the range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​

Basically, we need to find value of y when x is -12,-4 8

The values of y is the range of the given function.

Put x = -12

`y = (3)/(4) x + 17\\y= (3)/(4) (-12) + 17\\y=3(-3)+17\\y=-9+17\\y=8`

When x = -12, y= 8

Put x = -4

`y = (3)/(4) x + 17\\y= (3)/(4) (-4) + 17\\y=3(-1)+17\\y=-3+17\\y=14`

When x = -4, y = 14

Put x = 8

`y = (3)/(4) x + 17\\y= (3)/(4) (8) + 17\\y=3(2)+17\\y=6+17\\y=23`

So, when x = 8, y = 23

The range of the function y = 3/4 x + 17 when the domain is -12, -4, 8​ is 8,14,23