Question

Evaluate if possible the function (if possible) at the given values of the independant variables

F(x)=X^3-X

F(X)-F(1)/X-1

Answer 1

X^3-X - (1^3 -1) /(X-1)
X^3 -X -0 /(X-1)
X(X^2 - 1)/(X-1)
X(X+1) (X-1) /(X-1)
X(X+1) = X^2 + X

Answer 2

F(X)=X^3-X
F(1)=1-1=0
so:
(F(X)-F(1))/X-1=
(X^3-X-0)/(X-1)
simplifies to ^ that answer

Answer 3

remember this problem when you get to calculus and learn about the difference quotient.

This new function tells you the slope of the secant line from X to 1 of the graph of X^3-X for x not equal 1.

It will be very useful when you get further along. :)