Question

Graph the function f(x)=x^3-1. Then state the x-intercept and Y- intercept, and give the domain and range in interval notation.

Please help!!! It will be greatly appreciated!

Answer 1

See below

Explanation:

• The graph is attached with x-intercept and y-intercept indicated

To find x-intercept we solve x when y = 0

• x^3 - 1 = 0
• x^3 = 1
• x = 1

Point is (1, 0)

To find y-intercept we solve y when x = 0

• y = 0^3 - 1
• y = -1

Point is (0, -1)

The function has no restrictions and its domain and range are all real numbers.

Interval notation for both domain and range is:

• (-∞, +∞)