Answer:
Greater unit rate: function 1. Greater y-intercept: function 2.
Step-by-step explanation:
The unit rate of a function is its rate of change, and it is given by
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
where [tex]\Delta y[/tex] is the change in the y-variable and [tex]\Delta x[/tex] the change in the x-variable.
For function 1, the rate of change is:
[tex]m_1=\frac{15-5}{5-0}=2[/tex]
For function 2, we can use two points taken from the graph; let's take
(-4,0) and (0,6)
So its rate of change is
[tex]m_2=\frac{6-0}{0-(-4)}=1.5[/tex]
So, function 1 has the greater unit rate.
The y-intercept of a function is the y-coordinate of the point where the function touches the y-axis, so the point at which x = 0.
For function 1, this point is already given: in fact, it is
x = 0, y = 5
So the y-intercept is 5.
For function 2, the y-intercept can be inferred from the graph: we see that at x = 0, y = 6, so the y-intercept is 6.
Therefore, function 2 has the greater y-intercept.
