determine algebraically whether the given function is even, odd, or neither.

(g(x) = 7x^2 - 5)

choose the correct answer.

- even
- neither
- odd

Question

determine algebraically whether the given function is even, odd, or neither.

(g(x) = 7x^2 - 5)

choose the correct answer.

- even
- neither
- odd

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Even and Odd Functions" ], "new_concepts": [], "current_concepts": [ "Even and Odd Functions", "Symmetry Tests" ] } ## Evaluate the function at negative x $$ \begin{aligned} g(-x) &= 7(-x)^2 - 5 \ &= 7(x^2) - 5 \ &= 7x^2 - 5 \end{aligned} $$ ## Compare with the original function $$ \begin{aligned} g(-x) &= g(x) \ 7x^2 - 5 &= 7x^2 - 5 \end{aligned} $$

Even

Neither

Odd

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Even and Odd Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the function at negative x

Compare with the original function

Answer: