Which graph represents the function below?

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Answer 1 · 2018-01-31T16:03:37

I guess its $f (x) = \frac{x^{2} - 25}{x + 5}$ $f(x)=(x^2-25)/(x+5$ enter image source here

so $y = \frac{x^{2} - 25}{x + 5}$ $y=(x^2-25)/(x+5)$

change f(x) to y

using $a^{2} - b^{2} = (a - b) (a + b)$ $a^2-b^2=(a-b)(a+b)$

from the numirator $x^{2} - 25 = (x - 5) (x + 5)$ $x^2-25=(x-5)(x+5)$

therefore $y = \frac{(x + 5) (x - 5)}{x + 5}$ $y=((x+5)(x-5))/(x+5)$

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]}