given $f(x) = x^2 + 3x - 4$, evaluate.

$f(-4)$

is the ordered pair $(-2, 0)$ a solution of the equation $y = -6x + 12$?
yes
no

Question

given $f(x) = x^2 + 3x - 4$, evaluate.

$f(-4)$

is the ordered pair $(-2, 0)$ a solution of the equation $y = -6x + 12$?
yes
no

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Function Evaluation", "Linear Functions" ], "new_concepts": [], "current_concepts": [ "Function Evaluation", "Linear Functions", "Quadratic Functions" ] } ## Evaluate the function at x = -4 Using the *Function Evaluation* knowledge point $$ \begin{aligned} F(x) &= x^2 + 3x - 4 \ F(-4) &= (-4)^2 + 3(-4) - 4 \ F(-4) &= 16 - 12 - 4 \ F(-4) &= 0 \end{aligned} $$ ## Test the ordered pair in the linear equation Using the *Linear Functions* knowledge point $$ \begin{aligned} y &= -6x + 12 \ 0 &\stackrel{?}{=} -6(-2) + 12 \ 0 &\stackrel{?}{=} 12 + 12 \ 0 & e 24 \end{aligned} $$ ## Question 1 0 ## Question 2 Yes

No

{ "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Function Evaluation" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the function at x = -4

Test the ordered pair in the linear equation

Answer:

Question 1

Question 2