Question

For the piecewise function, find the values h(-5), h(0), h(5), and h(9).

- 3x-13, for x < -5
h(x) = 5,
h(0) =
h(-5) = (Simplify your answer.)
=(Simplify your answer.)
(Simplify your answer.)
(Simplify your answer.)
=
h(5)=
X+ 7,
h(9) =
for 5≤x<5
for x ≥ 5
2

Answer 1

• h(-5) = 5, h(0) = 5, h(5) = 12, h(9) = 16

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The given function is the combination of three lines:

• h(x) = - 3x - 13, for x < - 5,
• h(x) = 5, for - 5 ≤ x < 5,
• h(x) = x + 7, for x ≥ 5.

The values of the function at the given points are:

• h(-5) = 5, corresponds to second equation,
• h(0) = 5, same as above,
• h(5) = 5 + 7 = 12, corresponds to third equation,
• h(9) = 9 + 7 = 16, same as above.