question 19

for the exponential function $f(x) = 4 \cdot 6^x$, what is the value of $f(2)$?

48
576
144
96

Question

question 19

for the exponential function $f(x) = 4 \cdot 6^x$, what is the value of $f(2)$?

48
576
144
96

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponentiation Rules", "Order of Operations" ], "new_concepts": [ "Exponential Function Evaluation" ], "current_concepts": [ "Exponentiation Rules", "Order of Operations", "Exponential Function Evaluation" ] } ## Substitute the input value into the function $$ f(2) = 4 \cdot 6^2 $$ ## Evaluate the exponent $$ 6^2 = 36 $$ ## Multiply the remaining terms $$ f(2) = 4 \cdot 36 = 144 $$

48

576

144

96

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Exponential Function Evaluation" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the input value into the function

Evaluate the exponent

Multiply the remaining terms

Answer: