Answer
y=$\frac{79}{32}$ $\approx$ 2.47
x=1
Work Step by Step
(-0.5,y)
y=$x^{5}$-5x
Substitute x=-0.5 in the above equation to get the value of y at this point.
y=$(-0.5)^{5}$-5 (-0.5) = $\frac{79}{32}$ $\approx$ 2.47
(x,-4)
y=$x^{5}$-5x
Substitute y=-4 in the above equation.
You should get $x^{5}$-5x+4=0
By trial and error x=1 is a solution of the above equation
$1^{5}$-5(1)+4=0
0=0