Question

Describe the behavior of the function (3x)/(x+5)
As x goes towards infinity, f(x) goes toward_____
As x goes towards negative infinity, f(x) goes towards_____

Answer 1

the numerator is a polynomial of degree one
the denominator is also a polynomial of degree one
since the degrees are the same, as \(x\to \infty\) you get the ratio of the leading coefficients

Answer 2

which in this case is \(\frac{3}{1}=3\)

Answer 3

Thank you