Question

type the correct answer in each box. use numerals instead of words.

consider function (h).

(h(x) = \

$$\begin{cases} 3x - 4, & x < 0 \\\\ 2x^2 - 3x + 10, & 0 \\le x < 4 \\\\ 2^x, & x \\ge 4 \\end{cases}$$

)

what are the values of the function when (x = 0) and when (x = 4)?

(h(0) = \\)
(h(4) = \\)

Explanation:

Evaluate h(0) using the appropriate piecewise interval

For \(x = 0\), the interval is \(0 \le x < 4\).

$$ h(0) = 2(0)^2 - 3(0) + 10 = 10 $$

Evaluate h(4) using the appropriate piecewise interval

For \(x = 4\), the interval is \(x \ge 4\).

$$ h(4) = 2^4 = 16 $$

Answer:

Consider function \(h\).

$$ h(x) =
LATEXBLOCK0
$$

What are the values of the function when \(x = 0\) and when \(x = 4\)?

\(h(0) =\) <blank>10</blank>
\(h(4) =\) <blank>16</blank>