Questions: The graph of the function (f) is shown to the right. An x-intercept of this graph is ((4,0)). Write this using function notation. What is the function notation?

The graph of the function (f) is shown to the right. An x-intercept of this graph is ((4,0)). Write this using function notation.

What is the function notation?

Transcript text: The graph of the function $f$ is shown to the right. An x-intercept of this graph is $(4,0)$. Write this using function notation. What is the function notation?

Solution

Solution Steps

Step 1: Identify the x-intercept

The problem states that the x-intercept of the graph is (4,0). This means that when $ y = 0 $, $ x = 4 $.

Step 2: Analyze the graph

Examine the graph to understand its shape and behavior. The graph appears to be a piecewise linear function with different slopes in different sections.

Step 3: Determine the function notation

To write the function in notation form, identify the equations of the lines in each segment of the piecewise function.