Determine Whether the Equation Has a Graph That Is Symmetric $$y = - 5 x ^ { 3 } + 5 x$$

question 426

Multiple Choice

Determine whether the equation has a graph that is symmetric with respect to the y-axis, the x-axis, the origin, or none of
these.
- $$y = - 5 x ^ { 3 } + 5 x$$

• A) \(x\)-axis only
• B) origin only
• C) \(x\)-axis, \(y\)-axis, origin
• D) \(y\)-axis only

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Definitions:

Graphing

The process of representing data visually using charts, plots, or diagrams to identify trends, patterns, or relationships.

Residuals

The differences between observed and predicted values in a statistical model, representing the error in predictions.

Homoscedasticity

The condition in which the variance of the residuals or errors in a regression analysis or statistical model is constant across all levels of the independent variable.

Heteroscedasticity

A condition in regression analysis where the variance of errors or the variability of the dependent variable differs across values of an independent variable.