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

Question

Mathematics

Urijah Johns

28 November, 13:50

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

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Boston Sheppard · Answer 1

Choice C is the answer. The reason why is because you can pick any two x values, call them x = p and x = q, and then compute the two corresponding slopes on the two curves. As long as p and q are between 0 and 5, this will have the exponential slope be larger.