which of the following is closest to a zero for the following graph?

(8, 0)
(4.5, 0)

Question

which of the following is closest to a zero for the following graph?

(8, 0)
(4.5, 0)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Zeros", "X-Intercept Definition" ], "new_concepts": [], "current_concepts": [ "Quadratic Zeros", "X-Intercept Definition" ] } ## Identify the definition of a zero from the graph $$ \text{A zero of a function corresponds to the } x\text{-intercept of its graph, where } y = 0. $$ ## Locate the x-intercepts on the graph $$ \begin{aligned} &\text{First } x\text{-intercept: between } x = 1 \text{ and } x = 2 \quad (\approx 1.5)\ &\text{Second } x\text{-intercept: between } x = 4 \text{ and } x = 5 \quad (\approx 4.5) \end{aligned} $$ ## Compare with the given options $$ \begin{aligned} &\text{Option 1: } (8, 0) \quad (\text{Not near any intercept})\ &\text{Option 2: } (4.5, 0) \quad (\text{Very close to the second intercept}) \end{aligned} $$

(8, 0)

(4.5, 0)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Zeros" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the definition of a zero from the graph

Locate the x-intercepts on the graph

Compare with the given options

Answer: