Solve the problem.
-The graph of $f ( x ) = \frac { 10 x ^ { 3 } + 8 } { 13 x ^ { 3 } }$ will behave like which function for large values of $| x |$ ?
A) $y = \frac { 10 } { 13 }$
B) $y = \frac { 10 } { 13 } x ^ { 3 }$
C) $y = \frac { 10 x } { 13 }$
D) $y = \frac { 10 } { 13 x }$

Question

Quizplus · Accepted Answer

For large values of $|x|$, the behavior of the function $f(x) = \frac{10x^3 + 8}{13x^3}$ will be dominated by the highest power terms in the numerator and the denominator. Thus, the function simplifies to $y = \frac{10}{13}$, as the $x^3$ terms cancel out.

Solve the Problem f(x)=10x3+813x3f ( x ) = \frac { 10 x ^ { 3 } + 8 } { 13 x ^ { 3 } }f(x)=13x310x3+8​

Solve the Problem $f ( x ) = \frac { 10 x ^ { 3 } + 8 } { 13 x ^ { 3 } }$