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

consider function $g$.

\g(x) = \begin{cases} 6, & -8 \le x

Question

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

consider function $g$.

\g(x) = \begin{cases} 6, & -8 \le x < -2 \\ 0, & -2 \le x < 4 \\ -4, & 4 \le x < 10 \end{cases}\

what are the values of the function when $x = -2$ and when $x = 4$?

$g(-2) = $
$g(4) = $

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Piecewise Functions" ], "new_concepts": [], "current_concepts": [ "Piecewise Functions" ] } ## Evaluate the piecewise function at x = -2 $$ \begin{aligned} &\text{For } x = -2, \text{ the interval is } -2 \le x < 4.\ &g(-2) = 0 \end{aligned} $$ ## Evaluate the piecewise function at x = 4 $$ \begin{aligned} &\text{For } x = 4, \text{ the interval is } 4 \le x < 10.\ &g(4) = -4 \end{aligned} $$ Consider function $g$. $$ g(x) = \begin{cases} 6, & -8 \le x < -2 \ 0, & -2 \le x < 4 \ -4, & 4 \le x < 10 \end{cases} $$ What are the values of the function when $x = -2$ and when $x = 4$? $g(-2) =$ 0 $g(4) =$ -4 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Piecewise Functions" ] }

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Question

Explanation:

Evaluate the piecewise function at x = -2

Evaluate the piecewise function at x = 4

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