select the correct answer.

what is the y-intercept of $f(x) = 3^{x+2}$?

(9,0)
(0,9)
(0,-9)
(9,-9)

Question

select the correct answer.

what is the y-intercept of $f(x) = 3^{x+2}$?

(9,0)
(0,9)
(0,-9)
(9,-9)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Graph Intercepts" ], "new_concepts": [], "current_concepts": [ "Graph Intercepts", "Exponential Functions" ] } ## Evaluate the function at x = 0 $$ \begin{aligned} f(0) &= 3^{0+2} \ f(0) &= 3^2 \ f(0) &= 9 \end{aligned} $$ ## Write the y-intercept as a coordinate pair $$ (x, y) = (0, 9) $$

(A) $(9,0)$

(B) $(0,9)$

(C) $(0,-9)$

(D) $(9,-9)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Graph Intercepts" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the function at x = 0

Write the y-intercept as a coordinate pair

Answer: