the graph of a function is given below.
give all $y$-intercepts and $x$-intercepts shown.
if there is more than one answer, separate them with commas.
click on
one\ if applicable.
$y$-intercept(s):
$x$-intercept(s):

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Intercepts", "Coordinate Plotting" ], "new_concepts": [ "Graph Intercepts", "Function Intercepts" ], "current_concepts": [ "Intercepts", "Coordinate Plotting", "Graph Intercepts", "Function Intercepts" ] } ## Identify the y-intercept The $y$-intercept is the point where the graph crosses the $y$-axis ($x = 0$). Looking at the vertical axis, the graph intersects it at $y = 2$. $$ y\text{-intercept} = 2 $$ ## Identify the x-intercepts The $x$-intercepts are the points where the graph crosses the $x$-axis ($y = 0$). Looking at the horizontal axis, the graph intersects it at two points: $$ x = -4 \quad \text{and} \quad x = -2 $$ ## Format the final answers The question asks to separate multiple answers with commas. $$ \begin{aligned} &y\text{-intercept(s)}: 2 \ &x\text{-intercept(s)}: -4, -2 \end{aligned} $$ Give all $y$-intercepts and $x$-intercepts shown. $y$-intercept(s): 2 $x$-intercept(s): -4, -2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Graph Intercepts" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the y-intercept

Identify the x-intercepts

Format the final answers

Answer: