Question

Plot points between and beyond the x-intercepts and the vertical asymptote. Evaluate the function at -7, -6, -1, and 8.112X-72x+x-20f(x)=x-5(Simplify your answers.)-60112180

Answer 1

Replace each x value and solve.

x = -7

`(x^(^2)+x-20)/(x-5)=\frac{(-7)^(^2)+(-7)\text{ -20}}{-7-5}=(49-27)/(-12)=(22)/(-12)=-11/6`

x= -6

`((-6)^2+(-6)-20)/(-6-5)=(36-26)/(-11)=-10/11`

x= -1

`\frac{(-1)^(^2)+\text{ \lparen-1\rparen - 20}}{-1-5}=(1-1-20)/(-6)=(-20)/(-6)=10/3`

x=11/2

`\frac{(11/2)^(^2)+(11/2)-20}{11/2\text{ -5}}=(121/4+11/2-20)/(1/2)=(63/4)/(1/2)=63/2`

x=8

`((8)^(^2)+8-20)/(8-5)=(64+8-20)/(3)=(52)/(3)`