Answer
a) See graph
b) $x=-0.5,x=7$
Work Step by Step
We are given the function:
$f(x)=2x^2-13x-7$
a) Graph the function.
From the graph the zeros are:
$x=-0.5,x=7$
b) Determine the zeros algebraically:
$f(x)=0$
$2x^2-13x-7=0$
$2x^2-14x+x-7=0$
$2x(x-7)+(x-7)=0$
$(x-7)(2x+1)=0$
$x-7=0$ or $2x+1=0$
$x=7$ or $x=-0.5$
