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

Question

asked Oct 18, 2022 41.0k views

2 Answers

Eimmer · Answer 1 · 2022-10-24T19:42:09+0000

Answer:

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