symmetry and intercepts for y=-6-x^3

Question

 What is the x and y intercepts and what type of symmetry does this equation have

Answer 1

y = -6 - x³

 

is a function that has a S-curve like shaped.  It has no symmetry.

 

To find the x-intercept, set y=0 and solve for x.

 

0 = -6 - x³

 

6 = -x³

 

-6 = x³

 

³√(-6) = x

 

-1.817 = x

 

The x-intercept is (-1.817, 0). 

 

 

To find the y-intercept, set x=0 and solve for y.

 

The y-intercept is (0, -6).