Answer
(a) The slope is 2, and the y-intercept is (0,-5)
(b) The average rate of change is 2
(c) See the graph and intercepts below.
(d) The function is increasing since the slope is positive.
Work Step by Step
The function is in the form of y=mx+b.
$m$ is the slope of the function and, also, the average rate of change (in linear functions slope and the average rate of change are the same).
$b$ is the y-intercept.
To find the x-intercept(s), we set f(x) to 0 and solve for x:
$0=2x-5$
$2x=5$
$x=2.5$
A linear function increases when its slope is positive, it decreases when its slope is negative, and it's constant when its slope is zero.
