Question

Find h(-1), h(-0.75), and h(2).​

Answer 1

- 1 , 0 , 2

Explanation:

h(- 1) in interval - 2 ≤ x ≤ - 1 , then

h(- 1) = - 1

h(- 0.75) in interval - 1 < x ≤ 0 , then

h(- 0.75) = 0

h(2) in interval 1 ≤ x ≤ 2 , then

h(2) = 2

Answer 2

-1, 0, 2

Explanation:

we are given the piecewise function
`h(x)` and we are to find
`h(-1),\: h(-0.75),\: h(2)`. we need to find for each x-value, which interval/domain they lie in in terms of the piecewise function.

first,
`x=-1` is in the interval
`-2 < x\leq-1` because the
`\leq` sign means -1 is a part of the interval (
`\leq` meaning less than or equal to) , so
`h(-1)=-1` according to the function.

next,
`x=-0.75` is in the interval
`-1 < x\leq0`, and so the corresponding value of
`h(x)` is
`h(-0.75)=0`.

finally, we have
`x=2`, which is in the interval
`1 < x\leq2`, and again, the
`\leq` sign means 2 is a part of the interval. therefore,
`h(2)=2`.