Which Function is Growing Faster: Exponential or Quadratic?

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval?

The data compares the growth rates of exponential and quadratic functions over an interval. Can you determine which function grows faster based on the information provided?

Answer: C

Explanation:

In this scenario, function C represents the exponential growth rate that is consistently faster than the growth rate of the quadratic function. This means that as x increases, the value of the exponential function will increase at a greater rate compared to the quadratic function over the specified interval.

Exponential functions grow at an exponential rate, while quadratic functions have a polynomial equation of the second degree, with the highest power of x being 2. This difference in growth rates is what makes function C the correct choice for the question.