using the graph of the function $b(x) = -(x + 3)(x - 7)$, determine the locations of the x-intercepts.

$(-3, 0)$ and $(7, 0)$

$(-3, 0)$ and $(-7, 0)$

$(3, 0)$ and $(7, 0)$

$(3, 0)$ and $(-7, 0)$

Question

using the graph of the function $b(x) = -(x + 3)(x - 7)$, determine the locations of the x-intercepts.

$(-3, 0)$ and $(7, 0)$

$(-3, 0)$ and $(-7, 0)$

$(3, 0)$ and $(7, 0)$

$(3, 0)$ and $(-7, 0)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Quadratic Functions" ], "new_concepts": [ "x-intercepts" ], "current_concepts": [ "Quadratic Functions", "x-intercepts" ] } ## Set the function equal to zero $$ b(x) = 0 \implies -(x + 3)(x - 7) = 0 $$ ## Solve for the x-values $$ \begin{aligned} x + 3 = 0 &\implies x = -3 \ x - 7 = 0 &\implies x = 7 \end{aligned} $$ ## Write as coordinate points $$ (-3, 0) \quad \text{and} \quad (7, 0) $$

(A) $(-3, 0)$ and $(7, 0)$

(B) $(-3, 0)$ and $(-7, 0)$

(C) $(3, 0)$ and $(7, 0)$

(D) $(3, 0)$ and $(-7, 0)$

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QUESTION IMAGE

Question

Explanation:

Set the function equal to zero

Solve for the x-values

Write as coordinate points

Answer: