Answer:
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
Step-by-step explanation:
The rate of change is also known as slope. The slope of a linear function or a line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the function 1 is passing through the points (0,3) and (4,3). Slope of function 1 is
[tex]m_1=\frac{3-3}{4-0}[/tex]
[tex]m_1=\frac{0}{4}[/tex]
[tex]m_1=0[/tex]
Therefore the slope of first function is 0.
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is the slope and b is y-intercept.
The second function is
[tex]y=2x+1[/tex]
Therefore the slope of second function is 2 and the y-intercept is 1.
The rate of change of function 1 is 0 and the rate of change of function 2 is 2. The rate of change of function 2 is 2 more than the rate of change of function 1.
