Question

What are the intercepts for y = x³?

a) x-intercept: (0, 0), y-intercept: (0, 0)
b) x-intercept: (1, 1), y-intercept: (0, 0)
c) x-intercept: (0, 0), y-intercept: (0, 0)
d) x-intercept: (0, 0), y-intercept: (0, 1)

Answer 1

The intercepts for y = x³ are: x-intercept: (0, 0) and y-intercept: (0, 0). Hence, option A is correct.

Step-by-step explanation:

The intercepts for the equation y = x³ can be found by setting x or y to 0 and solving for the other variable.

The x-intercept occurs when y = 0. Plugging in y = 0, we get 0 = x³. Solving for x, we find that x = 0.

The y-intercept occurs when x = 0. Plugging in x = 0, we get y = 0³, which is also y = 0.

Therefore, the intercepts for y = x³ are: x-intercept: (0, 0) and y-intercept: (0, 0).