How can I use the graph of the function f(x) …

Mathematics Questions

How can I use the graph of the function f(x) to find f(3)?

Short Answer

To evaluate the function at the input value of 3, first identify this input on the graph’s x-axis. Then, draw a vertical line up to where it intersects the graph to find the corresponding output value on the y-axis, which represents f(3).

Step-by-Step Solution

Step 1: Identify the Input

Start by clearly defining the input value for the function you are evaluating. In this case, the input is 3. This value represents the x-coordinate where you will find the corresponding output.

Step 2: Locate the Input on the Graph

Next, head to your graph and find the point on the x-axis that corresponds to the input value of 3. This step is crucial because it determines the exact location on the graph where you will check the output value.

Step 3: Determine the Output Value

Once you have located the input value on the x-axis, move vertically to determine where it intersects the graph. The output value can be found by looking at the y-coordinate at that intersection point. The value identified on the y-axis is the function’s value for f(3).

Related Concepts

Input

The value or variable that is used in a function to determine the corresponding output or result.

Graph

A visual representation of a mathematical function, showing the relationship between input values (x-coordinates) and output values (y-coordinates).

Output

The result or value produced by a function after applying the input, typically represented by the y-coordinate in a graph context.

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