Find the Intervals on Which the Given Function Is Increasing $\text { Increasing on } [ 0 , \infty ) \text { and decreasing on } ( - \infty , 0 ]$

question 132

Multiple Choice

Find the intervals on which the given function is increasing and the intervals on which it is decreasing. f ( x ) = x ² + 7

• A) \(\text { Increasing on } [ 0 , \infty ) \text { and decreasing on } ( - \infty , 0 ]\) .
• B) \(\text { Increasing on } ( - \infty , 0 ] \text { and decreasing on } [ 0 , \infty )\) .
• C) \(\text { No correct answer }\) .

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Definitions:

Regression Hyperplane

In multivariate linear regression, a flat surface that best fits the data points in a multi-dimensional space, generalizing the concept of a regression line.

Independent Variables

Variables in an experiment or model that are manipulated or categorized to determine their effect on dependent variables.

Squared Vertical Deviations

Squared vertical deviations represent the square of differences between observed values and their means in a data set, often used in regression analysis to measure dispersion.

MSE

Mean Squared Error, a measure of the average of the squares of the errors or deviations, indicating the difference between the estimator and what is estimated.