In Exercises 65–70, use the graph of f to find each indicated function value. f(-3)

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Identify the point on the graph where the input value (x) is -3. This means you need to look along the x-axis at -3 and find the corresponding point on the curve.

From the point where x = -3, move vertically to the curve to find the y-coordinate of the function at that x-value. This y-coordinate is the value of f(-3).

Read the y-value from the graph at x = -3 carefully. This value represents f(-3).

Write down the function value as f(-3) = y, where y is the y-coordinate you found on the graph.

Double-check the graph to ensure the point you identified corresponds exactly to x = -3 and that you have read the y-value correctly.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Function and Function Notation

A function assigns each input exactly one output. The notation f(x) represents the output value of the function f at the input x. Understanding this allows you to interpret the graph and find the value of f at a specific x-coordinate.

Reading Values from a Graph

To find f(-3) from the graph, locate x = -3 on the horizontal axis, then find the corresponding y-value on the curve. This y-value is the function's output at x = -3. Accurate reading of coordinates is essential for interpreting function values visually.

Coordinate Plane and Axes

The coordinate plane consists of the x-axis (horizontal) and y-axis (vertical). Points on the graph are given as (x, y), where x is the input and y is the output. Understanding this helps in identifying the correct point on the graph to evaluate the function.