Answer
a) Slope: 2;
b) $y$-intercept: -5;
c) see graph
d) $f$ is increasing
Work Step by Step
We are given the function:
$f(x)=2x-5$
a) Determine the slope of the function, using the standard form $y=mx+b$:
$m=2$
Determine the $y$-intercept:
$b=-5$
b) Determine the average rate of change:
$\dfrac{\Delta y}{\Delta x}=m=2$
c) Determine the $x$-intercepts:
$y=0\Rightarrow 2x-5=0\Rightarrow x=2.5$
Graph the function using the intercepts:
d) As the slope is positive, the function's graph is increasing on $(-\infty,\infty)$.
