Use the graph of g to solve Exercises 71–76.

For what value of x is g(x) = 1?

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Identify the horizontal line on the graph where the function value is \(g(x) = 1\). This means we are looking for points on the graph where the y-coordinate is 1.

Look across the graph to find all points where the graph intersects the horizontal line \(y = 1\).

Note the x-coordinates of these intersection points, as these are the values of \(x\) for which \(g(x) = 1\).

Write down the x-values corresponding to these points. These are the solutions to the equation \(g(x) = 1\).

Verify by checking the graph that at these x-values, the function's output is indeed 1.

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주요 개념

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

Understanding Function Notation

Function notation, such as g(x), represents the output value of a function g for a given input x. It is essential to interpret g(x) = 1 as finding the x-values where the function's output equals 1.

Reading Graphs of Functions

To solve for g(x) = 1 using a graph, locate the horizontal line y = 1 and identify the points where the graph of g intersects this line. The x-coordinates of these intersection points are the solutions.

Interpreting Coordinates on a Graph

Each point on a graph is represented as (x, y), where x is the input and y is the output. Understanding how to read these coordinates allows you to determine the input values corresponding to a specific output, such as g(x) = 1.

Use the graph of g to solve Exercises 71–76.For what value of x is g(x) = 1?