if (f(x)) is defined as follows, find (a) (f(-2)), (b) (f(0)), and (c) (f(3)).

(f(x) = \
$\begin{cases} x^2 & \\text{if } x < 0 \\\\ -2 & \\text{if } x = 0 \\\\ 2x + 2 & \\text{if } x > 0 \\end{cases}$
)

(a) (f(-2) = \\) (simplify your answer.)

Question

if (f(x)) is defined as follows, find (a) (f(-2)), (b) (f(0)), and (c) (f(3)).

(f(x) = \begin{cases} x^2 & \text{if } x < 0 \\ -2 & \text{if } x = 0 \\ 2x + 2 & \text{if } x > 0 \end{cases})

(a) (f(-2) = \) (simplify your answer.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Function Evaluation" ], "new_concepts": [ "Piecewise Functions" ], "current_concepts": [ "Function Evaluation", "Piecewise Functions" ] } ## Identify the correct piece for the input value $$ \begin{aligned} &x = -2 \ &-2 < 0 \implies f(x) = x^2 \end{aligned} $$ ## Evaluate the function at the given input $$ \begin{aligned} f(-2) &= (-2)^2 \ f(-2) &= 4 \end{aligned} $$ If $f(x)$ is defined as follows, find (a) $f(-2)$, (b) $f(0)$, and (c) $f(3)$. $$ f(x) = \begin{cases} x^2 & \text{if } x < 0 \ -2 & \text{if } x = 0 \ 2x + 2 & \text{if } x > 0 \end{cases} $$ Part 1 of 3 (a) $f(-2) =$ 4 (Simplify your answer.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Piecewise Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the correct piece for the input value

Evaluate the function at the given input

Answer: