Provide an Appropriate Response $y = 2 x ^ { 2 }$

question 60

Essay

Provide an appropriate response.
-Over what intervals of x-values, if any, does the function y $y = 2 x ^ { 2 }$ increase as x increases? For what values of x, if any, is y' positive? How are your answers related?

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Definitions:

Standard Deviations

A measure of the dispersion or variation in a distribution, indicating how spread out the values are from the mean.

Frequency Table

A table that displays the frequencies of different data categories, showing how often each category occurs in the dataset.

Mound-Shaped Distribution

Another term for a normal distribution, characterized by its bell-shaped curve that is symmetrical around the mean.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how much the values in the set differ from the mean.