How do I complete the table?

Question

Find f(x) when x is -7,-6,-5.5,-5,-4.5,-4,-3

f(x)=x^2-25/x+5

Answer 1

Assuming you mean, f(x) = (x^2 - 25)/(x+5), then we have a removable discontinuity.

f(x) = (x+5)(x-5)/(x+5)

= x-5 <--- x+5 cancels

So it is now simply the line y = f(x) = x-5

You can plug the values you have listed for x into the function y = f(x) = x-5 to complete your table

They are:

X y

-7 -12

-6 -11

-5.5 -10.5

-5 -10

-4.5 -9.5

-4 -9

-3 -8

SOme older function plotters that do not simplify the function (this removing the discontinuity) will

still graph the line but with an open hole at x=-5 showing the removable discontinuity