Find the X- and Y-Intercepts of F $f ( x ) = 5 x - x ^ { 3 }$

question 119

Multiple Choice

Find the x- and y-intercepts of f.
- $f ( x ) = 5 x - x ^ { 3 }$

• A) x-intercepts: \(0 , \sqrt { 5 } , - \sqrt { 5 } ; y\)-intercept: 0
• B) x-intercepts: \(0 , \sqrt { 5 } , - \sqrt { 5 } ; y\)-intercept: 5
• C) \(x\)-intercepts: \(0 , - 5 ; y\)-intercept: 5
• D) \(x\)-intercepts: \(0 , - 5 ; y\)-intercept: 0

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Definitions:

Past Causes

The events or actions that have happened in the past and have led to the occurrence of current events or situations.

Soft Determinism

A thesis that accepts determinism but claims that certain kinds of causes—namely, a person’s character—will allow us to call his or her actions free. The soft determinist is therefore a compatibilist, who believes in both freedom and determinism.

Responsible

Having an obligation to do something, or having control over or care for someone, as part of one's job or role.

Determined Actions

Refers to actions whose outcomes are influenced or dictated by prior conditions or laws, suggesting a lack of free will.