Question

consider the piecewise h(x) = -2/3(x+1) x<-1
-4x-4 -1≤ x≤ 0
x-8 1 11 years ago

Answer 1

Use -2/3(x +1) IF x < -1
Use -4x - 4 IF -1≤ x≤ 0
Use x - 8 IF 1 < x < 4

h(-3) = ?
x = -3. Which one of the above should you use?

Answer 2

okay so h(-3) = 4/3

Answer 3

Find h(-3)
When x = -3, it is less than -1. So you use the first one:
Use -2/3(x +1) IF x < -1
h(x) = -2/3 * (x + 1)
put x = -3
h(-3) = -2/3 * (-3 + 1) = -2/3 * (-2) = 4/3

Next find h(0). That is, what is h when x = 0.
Look in my very first reply and select which one to use when x = 0.

Answer 4

okay so h(0) is -4 and h(3) is -5

Answer 5

so what is the domain of h(x)?

Answer 6

Correct on h(0) and h(3).