22: use the graph of the function f shown to determine $f(1)$ and $f(-3)$.

$f(1) =$

$f(-3) =$

Question

22: use the graph of the function f shown to determine $f(1)$ and $f(-3)$.

$f(1) =$

$f(-3) =$

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": [ "Definition of a Function" ], "new_concepts": [ "Evaluating Functions Graphically" ], "current_concepts": [ "Definition of a Function", "Evaluating Functions Graphically" ] } ## Identify the given function graph Using the **Definition of a Function** knowledge point $$ y = f(x) $$ The graph represents a set of ordered pairs $(x, y)$ where each input $x$ maps to exactly one output $y$. ## Evaluate f(1) from the graph Using the **Definition of a Function** knowledge point $$ \begin{aligned} &\text{Locate } x = 1 \text{ on the horizontal axis.}\ &\text{Find the corresponding point on the curve: } (1, -4).\ &f(1) = -4 \end{aligned} $$ ## Evaluate f(-3) from the graph Using the **Definition of a Function** knowledge point $$ \begin{aligned} &\text{Locate } x = -3 \text{ on the horizontal axis.}\ &\text{Find the corresponding point on the curve: } (-3, 8).\ &f(-3) = 8 \end{aligned} $$ Use the graph of the function f shown to determine $f(1)$ and $f(-3)$. $f(1) =$ $-4$ $f(-3) =$ $8$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Functions Graphically" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given function graph

Evaluate f(1) from the graph

Evaluate f(-3) from the graph

Answer: