Question

Determine which function has the greatest rate of change as x approaches infinity.

Answer 1

For the given options, we will find the function that has the greatest rate of change as x approaches infinity

$\begin{gathered} a)f(x)=2x-8 \\ b)g(x)=5x^2-x+7 \\ c)h(x)=4^x-6 \end{gathered}$

The first function is a linear

The second function is quadratic

The third function is exponential

By reviewing the graph of the three functions, we can know that the exponential function has the greatest rate of change as x approaches infinity

So, the answer will be option C) h(x)