<h2>Part 1)</h2>
Let's analyze each part of the function:
FROM x = 0 TO x = 5:
We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:
So the y-intercept here is and
, therefore:
FROM x = 0 TO x = 5:
From the previous line, we know that at the output is:
So the point lies on both lines.
For this new line, the slope is
So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:
So:
The graph is shown below.
<h2>Part 2)</h2>The graph of the linear function is a line with slope
and
at
. From the items, we can assure that the following equations are linear functions:
In conclusion, the other functions are nonlinear and they are: