find the following for the function $f(x) = 4x^2 + 2x - 2$.

(a) $f(0)$
(b) $f(5)$
(c) $f(-5)$
(d) $f(-x)$
(e) $-f(x)$
(f) $f(x + 3)$
(g) $f(3x)$
(h) $f(x + h)$

part 1 of 8

(a) $f(0) =$ (simplify your answer.)

Question

find the following for the function $f(x) = 4x^2 + 2x - 2$.

(a) $f(0)$
(b) $f(5)$
(c) $f(-5)$
(d) $f(-x)$
(e) $-f(x)$
(f) $f(x + 3)$
(g) $f(3x)$
(h) $f(x + h)$

part 1 of 8

(a) $f(0) =$   (simplify your answer.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Definition of a Function" ], "new_concepts": [ "Function Evaluation" ], "current_concepts": [ "Definition of a Function", "Function Evaluation" ] } ## Identify the given function We are given the quadratic function: $$f(x) = 4x^2 + 2x - 2$$ ## Evaluate the function at zero Using the **Definition of a Function** knowledge point: $$ \begin{aligned} f(0) &= 4(0)^2 + 2(0) - 2 \ f(0) &= 0 + 0 - 2 \ f(0) &= -2 \end{aligned} $$ For the function $f(x) = 4x^2 + 2x - 2$, find the following: (a) $f(0) =$ -2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Function Evaluation" ] }

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Question

Explanation:

Identify the given function

Evaluate the function at zero

Answer: