the graph of the function $f(x) = \frac{3}{x+5}$ is shown below

what is the vertical asymptote of the function?

$x = -5$

Question

the graph of the function $f(x) = \frac{3}{x+5}$ is shown below

what is the vertical asymptote of the function?

$x = -5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Vertical Asymptotes", "Rational Functions" ], "new_concepts": [], "current_concepts": [ "Vertical Asymptotes", "Rational Functions" ] } ## Identify the rational function Using the *Rational Functions* knowledge point $$ f(x) = \frac{3}{x+5} $$ ## Determine the vertical asymptote Using the *Vertical Asymptotes* knowledge point $$ \begin{aligned} x + 5 &= 0 \ x &= -5 \end{aligned} $$

(A) $x = -5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Vertical Asymptotes" ] }

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Question

Explanation:

Identify the rational function

Determine the vertical asymptote

Answer: