Question

Graph F(x)=x^3-3x I need help with how it looks like graphedd plzz

Answer 1

Answer:

The graph rises on the left and keeps on the right

Step-by-step explanation:

The given function is

$f(x) = {x}^{3} - 3x$

$f(x) = x( {x}^{2} - 3)$

When x=0, f(0)=0.

This means that the y-intercept is (0,0)

When f(x)=0, We have

$x( {x}^{2} - 3) = 0$

Therefore

$x = 0 \: or \: x = {x}^{2} - 3 = 0$

$x = 0 \: or \: x = - \sqrt{3} \:o r \: x = \sqrt{3}$

The x-intercept is (0,0), (-√3,0), and (√3,0)

Since the degree of the leading term is odd and the leading coefficient is positive, the graph rises on the left and keep rising on the right.

The graph is shown in attachment