Find the X- and Y-Intercepts of F $$f ( x ) = 3 x - x ^ { 3 }$$

question 315

Multiple Choice

Find the x- and y-intercepts of f.
- $$f ( x ) = 3 x - x ^ { 3 }$$

• A) \(x\)-intercepts: \(0 , - 3\); \(y\)-intercept: 0
• B) \(x\)-intercepts: \(0 , \sqrt { 3 } , - \sqrt { 3 } ; y\)-intercept: 3
• C) \(x\)-intercepts: \(0 , \sqrt { 3 } , - \sqrt { 3 } ; y\)-intercept: 0
• D) x-intercepts: \(0 , - 3 ; y\)-intercept: 3

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Definitions:

Mean

The mean, or average, of a series of numbers is obtained by dividing the sum of the numbers by how many numbers there are.

Smallest Value

The minimum value in a set of data points.

Negative

A term that describes a value less than zero, indicating direction, charge, or a decrease in a measurable quantity.

Central Location

A statistical term that refers to the center or typical value in a set of data, often measured by mean, median, or mode.