Identify All Intercepts Of $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 16 }$

question 121

Multiple Choice

Identify all intercepts of $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 16 }$

• A) \(x\)-intercept: \(( 0,0 ) ; y\)-intercept: \(( 0,0 )\)
• B) \(x\)-intercepts: \(( - 4,0 )\) and \(( 4,0 ) ; y\)-intercept: \(( 0,1 )\)
• C) \(x\)-intercept: none; \(y\)-intercept: none
• D) \(x\)-intercept: none; \(y\)-intercept: \(( 0,1 )\)
• E) \(x\)-intercept: none; \(y\)-intercept: \(( 0,5 )\)

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Definitions:

SSR

Sum of Squared Residuals; a measure of the discrepancy between the data and an estimation model.

F Statistic

The F statistic is a value derived from an ANOVA test used to determine whether the means of several groups are equal by comparing the variance between groups to the variance within groups.

SSR

Sum of Squares due to Regression, a measure in statistics that quantifies the variation explained by the independent variables in a regression model.

Multiple Coefficient

Often refers to the coefficient of determination in multiple regression that measures the proportion of the variance in the dependent variable predictable from the independent variables.