use the graph of the rational function to complete the following statement.

as $x \
ightarrow -\infty$, $f(x) \
ightarrow \underline{\quad\quad}$

as $x \
ightarrow -\infty$, $f(x) \
ightarrow \square$

Question

use the graph of the rational function to complete the following statement.

as $x \
ightarrow -\infty$, $f(x) \
ightarrow \underline{\quad\quad}$

as $x \
ightarrow -\infty$, $f(x) \
ightarrow \square$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Horizontal Asymptotes", "Rational Function End Behavior" ], "new_concepts": [], "current_concepts": [ "Horizontal Asymptotes", "Rational Function End Behavior", "Graph Interpretation" ] } ## Identify the target behavior Using the *Rational Function End Behavior* knowledge point $$ \text{Find } \lim_{x \to -\infty} f(x) $$ ## Analyze the graph's left end Using the *Horizontal Asymptotes* knowledge point $$ \begin{aligned} &\text{As } x \to -\infty, \text{ the curve approaches the horizontal line } y = 1.\ &\text{Thus, } f(x) \to 1. \end{aligned} $$ As $x \to -\infty$, $f(x) \to$ 1 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Rational Function End Behavior" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the target behavior

Analyze the graph's left end

Answer: