Question

Use calculator to draw the graph F(x)=x^4-4x^3-x^2+12x-2

Answer 1

Here's what I got

Explanation:

I used an online graphing calculator and got the graph below.

The function has zeroes at (-1.756,0), (0.738, 0), (1.564, 0), and (3.453, 0).

There are local minima at (-0,939, -15.061) and (2,795,-7,853) and a local maximum at (1.144, 1.143).

The end behaviour is

F(x) ⟶ ∞ as x ⟶ -∞

F(x) ⟶ ∞ as x ⟶ ∞