Answer:
The range of the function y = 3/4 x + 17 when the domain is -12, -4, 8 is 8,14,23
Step-by-step 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
[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (-12) + 17\\y=3(-3)+17\\y=-9+17\\y=8[/tex]
When x = -12, y= 8
Put x = -4
[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (-4) + 17\\y=3(-1)+17\\y=-3+17\\y=14[/tex]
When x = -4, y = 14
Put x = 8
[tex]y = \frac{3}{4} x + 17\\y= \frac{3}{4} (8) + 17\\y=3(2)+17\\y=6+17\\y=23[/tex]
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
