Question

please help, precalculus will report false answers

Answer 1

Explanation

• Given the equation.

$f(x) = \frac{ {2}^{x} }{x}$

• Consider each terms for both numerator and denominator.

Numerator

$y = {2}^{x}$

The function family is exponential when separating the denominator out of numerator.

Exponential family have the equation of

$y = {a}^{x}$

Denominator

$y = x$

The function family is linear when separating the numerator. The equation for linear family is only

$y = mx + b$

We combine both exponential and linear by dividing the exponential with linear.

Answer

• We divide the exponential function by a linear function.