Question

Let f(x) = 7 x^2 - 2 x.

Find all extreme values (if any) of f and determine the values of x at which these values occur. NOTE: If there is no maximum value (or minimum value), then enter N/A

Answer 1

This is a parabola that opens up, so you'll have a minimum at the vertex:
\[(\frac{-b}{2a},f(\frac{-b}{2a}))\]. You can also take the 1st derivative and set it equal to 0, solve for x.