Use the graph to evaluate each expression. See Example 3(a).
(ƒ+g)(0)

검증된 단계별 안내

Identify the value of x at which you need to evaluate the expression. Here, it is x = 0.

Find the value of f(0) by locating the red curve (f(x)) on the graph at x = 0. Read the corresponding y-value on the vertical axis.

Find the value of g(0) by locating the blue curve (g(x)) on the graph at x = 0. Read the corresponding y-value on the vertical axis.

Add the two values together to find (f + g)(0), using the formula: \[(f + g)(0) = f(0) + g(0)\]

Write the final expression for (f + g)(0) using the values you found from the graph, but do not calculate the sum.

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주요 개념

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

Function Evaluation

Function evaluation involves finding the output value of a function for a given input. For example, to evaluate (f+g)(0), you find f(0) and g(0) separately and then add the results. This process is fundamental for understanding how functions behave at specific points.

Function Addition

The sum of two functions, (f+g)(x), is defined as f(x) + g(x). This means you add the output values of f and g for the same input x. Understanding function addition helps in combining different functions and analyzing their combined behavior.

Reading Values from a Graph

Reading values from a graph requires identifying the coordinates of points on the function curves. To evaluate functions at x=0, locate x=0 on the x-axis and find the corresponding y-values on each graph. This skill is essential for interpreting graphical data and solving function-related problems.

Use the graph to evaluate each expression. See Example 3(a). (ƒ+g)(0)