To find the points of intersection between the two equations y = x^3 + 1 and y = 1 - x^3, we can set them equal to each other and solve for x:
x^3 + 1 = 1 - x^32x^3 = 0x = 0
Therefore, the point of intersection between the two equations is when x = 0.
To find the points of intersection between the equation y = 0 and the given functions, we can set y = 0 in each equation and solve for x:
For y = 0 and y = x^3 + 1:0 = x^3 + 1x^3 = -1This equation doesn't have a real solution, so there is no point of intersection.
For y = 0 and y = 1 - x^3:0 = 1 - x^3x^3 = 1x = 1
Therefore, the points of intersection between y = 0 and y = 1 - x^3 are when x = 1.
To find the points of intersection between the two equations y = x^3 + 1 and y = 1 - x^3, we can set them equal to each other and solve for x:
x^3 + 1 = 1 - x^3
2x^3 = 0
x = 0
Therefore, the point of intersection between the two equations is when x = 0.
To find the points of intersection between the equation y = 0 and the given functions, we can set y = 0 in each equation and solve for x:
For y = 0 and y = x^3 + 1:
0 = x^3 + 1
x^3 = -1
This equation doesn't have a real solution, so there is no point of intersection.
For y = 0 and y = 1 - x^3:
0 = 1 - x^3
x^3 = 1
x = 1
Therefore, the points of intersection between y = 0 and y = 1 - x^3 are when x = 1.