Please help with Calculus problem

E) None of the above

Step-by-step explanation:

y = 2x + 1 is the tangent line at x = 1, so f(1) = 3 and f'(1) = 2.

We also know that f(2) = 6, and that the tangent line passes through (2,5).

If we assume that f(x) doesn't change concavity between x=1 and x=2, then f(x) must be above the tangent line in that range, so f(x) is concave up.

An example would be f(x) = x² + 2.

However, we can't make that assumption.  It's possible for f(x) to be concave up and concave down in that range.

An example would be f(x) = 3x³ − 11x² + 15x − 4.

Graph:

desmos.com/calculator/iidgm1o7xv

Therefore, there is not enough information to make any of these conclusions.

70.30

step-by-step explanation: