Question

Determine which function has the greatest rate of change as x approaches infinity. f(x) = 4x 50 g(x) = 3x − 4 h(x) = 2x2 9x − 4 there is not enough information to determine the answer.

Answer 1

The slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The functions are given below.

$\rm f(x) = 4x+ 50\\\\ g(x) = 3x - 4 \\\\h(x) = 2x^2+ 9x- 4$

The slope of the f(x) and g(x) will be 4 and 3 respectively.

And the slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.

The graph is shown below.

More about the slope link is given below.

brainly.com/question/3605446