Decide whether the relation is a function.
-Find $f ( 2 )$ when $f ( x ) = \frac { x ^ { 3 } - 5 } { x ^ { 2 } - 3 }$
A) $\frac { 3 } { 4 }$
B) 3
C) 8
D) $- 1$

Question

Quizplus · Accepted Answer

The given relation is a function because for each input $x$, there is exactly one output $f(x)$. To find $f(2)$, substitute $x = 2$ into the function: $f(2) = \frac{2^3 - 5}{2^2 - 3} = \frac{8 - 5}{4 - 3} = \frac{3}{1} = 3$.

Decide Whether the Relation Is a Function f(2)f ( 2 )f(2)

Decide Whether the Relation Is a Function $f ( 2 )$