pherris is graphing the function $f(x) = 2(3)^x$. he begins with the point $(1, 6)$. which could be the next point on his graph?

$\bigcirc$ $(2, 12)$
$\bigcirc$ $(2, 18)$
$\bigcirc$ $(2, 7)$
$\bigcirc$ $(3, 7)$

Question

pherris is graphing the function $f(x) = 2(3)^x$. he begins with the point $(1, 6)$. which could be the next point on his graph?

$\bigcirc$ $(2, 12)$
$\bigcirc$ $(2, 18)$
$\bigcirc$ $(2, 7)$
$\bigcirc$ $(3, 7)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponential Functions", "Function Evaluation" ], "new_concepts": [], "current_concepts": [ "Exponential Functions", "Function Evaluation" ] } ## Evaluate the function at x = 2 $$ f(2) = 2(3)^2 = 2(9) = 18 $$ ## Evaluate the function at x = 3 $$ f(3) = 2(3)^3 = 2(27) = 54 $$ ## Identify the matching coordinate pair $$ (2, f(2)) = (2, 18) $$

(2, 12)

(2, 18)

(2, 7)

(3, 7)

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

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QUESTION IMAGE

Question

Explanation:

Evaluate the function at x = 2

Evaluate the function at x = 3

Identify the matching coordinate pair

Answer: