Analyzing Function Values from a Graph

Q17. From the graph of a function, list all input values where $f(x) = 2$.

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 $f(x) = 2$. This is the line $y = 2$.

2. Find the points where the graph of the function intersects this horizontal line. These intersection points represent the input values where $f(x) = 2$.

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 $y = 2$. These are the input values where $f(x) = 2$.

Try solving on your own before revealing the answer!

Final Answer: The input values are $x = -2$ and $x = 2$.

From the graph, the function intersects $y = 2$ at $x = -2$ and $x = 2$.

These are the values where $f(x) = 2$.