Question

evaluate the function for the given values of \\(x\\).

\\h(x) = \

$$\begin{cases} -3x + 6 & \\text{for } x < -1 \\\\ x^2 + 2 & \\text{for } -1 \\le x < 4 \\\\ 5 & \\text{for } x \\ge 4 \\end{cases}$$

\\

part 1 of 5
\\(h(2) = \\)

part 2 of 5
\\(h(-3) = \\)

part 3 of 5
\\(h(-1) = \\)

part 4 of 5
\\(h(4) = \\)

part 5 of 5
\\(h(5) = \\)

Explanation:

Identify the piecewise function rules

The given piecewise function is:

$$ h(x) =
LATEXBLOCK0
$$

Evaluate h(2)

Using the Function Evaluation knowledge point

$$
LATEXBLOCK1
$$

Evaluate h(-3)

Using the Function Evaluation knowledge point

$$
LATEXBLOCK2
$$

Evaluate h(-1)

Using the Function Evaluation knowledge point

$$
LATEXBLOCK3
$$

Evaluate h(4) and h(5)

Using the Function Evaluation knowledge point

$$
LATEXBLOCK4
$$

Answer:

Question 1

\(h(2) = 6\)

Question 2

\(h(-3) = 15\)

Question 3

\(h(-1) = 3\)

Question 4

\(h(4) = 5\)

Question 5

\(h(5) = 5\)