Question 363578
Choose a range to graph (-5,5)
{{{f(-5)=5(-5)+8=-25+8=-17}}}
When approaching {{{x=0}}} from the left,
{{{f(0)=5(0)+8=8}}}, use an open circle to signify a limit and not a point.
When approaching {{{x=0}}} from the right,
{{{f(0)=2(0)^2-5=-5}}}, use a closed circle to signify a point.
{{{f(5)=2(5)^2-5=50-5=45}}}
Plot the points and connect the respective point with line/curve.
{{{drawing(300,300,-5,5,-50,50,grid(1),circle(0,8,0.2),
circle(0,-5,0.2),
circle(0,-5,0.15),
circle(0,-5,0.1),
circle(0,-5,0.05),
blue(line(0,8,-5,-17)),
green(line(0.2, -4.92, 0.4, -4.68)),
green(line(0.4, -4.68, 0.6, -4.28)),
green(line(0.6, -4.28, 0.8, -3.72)),
green(line(0.8, -3.72, 1, -3)),
green(line(1, -3, 1.2, -2.12)),
green(line(1.2, -2.12, 1.4, -1.08)),
green(line(1.4, -1.08, 1.6, 0.12)),
green(line(1.6, 0.12, 1.8, 1.48)),
green(line(1.8, 1.48, 2, 3)),
green(line(2, 3, 2.2, 4.68)),
green(line(2.2, 4.68, 2.4, 6.52)),
green(line(2.4, 6.52, 2.6, 8.52)),
green(line(2.6, 8.52, 2.8, 10.68)),
green(line(2.8, 10.68, 3, 13)),
green(line(3, 13, 3.2, 15.48)),
green(line(3.2, 15.48, 3.4, 18.12)),
green(line(3.4, 18.12, 3.6, 20.92)),
green(line(3.6, 20.92, 3.8, 23.88)),
green(line(3.8, 23.88, 4, 27)),
green(line(4, 27, 4.2, 30.28)),
green(line(4.2, 30.28, 4.4, 33.72)),
green(line(4.4, 33.72, 4.6, 37.32)),
green(line(4.6, 37.32, 4.8, 41.08)),
green(line(4.8, 41.08, 5, 45)),
graph(300,300,-5,5,-50,50,0))}}}