Which graph represents the function below?

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Answer 1 · 2018-01-31T16:03:37

I guess its #f(x)=(x^2-25)/(x+5# enter image source here

so #y=(x^2-25)/(x+5)#

change f(x) to y

using #a^2-b^2=(a-b)(a+b)#

from the numirator #x^2-25=(x-5)(x+5)#

therefore #y=((x+5)(x-5))/(x+5)#

x+5 will be canceled out

#y=(cancel(x+5)(x-5))/(cancel(x+5))#

the left over is

#y=x-5#

where the gradient of the line =1
y-intercept=-5
when y=0
x-intercept=5

graph{y=x-5 [-7.79, 12.21, -6.92, 3.08]}