Question

11. Find all relative extrema for f(x) = 3x + 7x2 + x +5.

a) Relative maximum (nearest tenth)
b) Relative minimum (nearest tenth)
c) Increasing (nearest tenth):
d) Decreasing (nearest tenth):

Answer 1

Rel. Minimum- -0.3

Rel. Maximum - None

Increasing on: -0.3, infinity

Decreasing on: -Infinity, -0.3

Explanation:

f(x) = 3x + 7x2 + x +5

To find the relative minimum, punch the equation into your graphing calculator and you should get -2/7 as your minimum. (Divide it for a decimal number)

There is no relative maximum because of this parent function type.

Increasing on: -2/7, infinity

And Decreasing on: -infinity, -2/7