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Analyzing Function Values from a Graph

스터디 가이드 - 스마트 노트

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Q17. From the graph of a function, list all input values where .

Background

Topic: Reading function values from a graph

This question tests your ability to interpret a graph and identify the input values (x-values) where the function output (y-value) equals a specific number.

Key Terms:

  • Function: A relation that assigns exactly one output value for each input value.

  • Input value (x): The value you substitute into the function.

  • Output value (f(x)): The value the function returns for a given input.

Step-by-Step Guidance

  1. Look at the graph and identify the horizontal line where . This is the line .

  2. Find the points where the graph of the function intersects this horizontal line. These intersection points represent the input values where .

  3. For each intersection, read the corresponding x-value from the graph. These are the values you are looking for.

  4. Write down the x-values where the graph meets . These are the input values where .

Graph of a function with points at y=2

Try solving on your own before revealing the answer!

Final Answer: The input values are and .

From the graph, the function intersects at and .

These are the values where .

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