Math 4 Unit 2 Functions Test Class 2B

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What is a piecewise function?

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A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

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How do you evaluate a piecewise function at a specific point?

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To evaluate a piecewise function at a specific point, determine which piece of the function applies to that point and then use the corresponding expression to find the value.

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What is the formula for a linear function?

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The formula for a linear function is typically written as f(x) = mx + b, where m is the slope and b is the y-intercept.

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How do you find the value of a linear function at a specific point?

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To find the value of a linear function at a specific point, substitute the x-value into the function's formula and solve for f(x).

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What is the domain of a function?

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The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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How do you determine the domain of a piecewise function?

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To determine the domain of a piecewise function, identify the x-values for which each piece of the function is defined and combine them.

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What does r² represent in statistics?

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r², or the coefficient of determination, represents the proportion of variance in the dependent variable that can be explained by the independent variable(s) in a regression model.

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How do you interpret an r² value of 0.8065?

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An r² value of 0.8065 indicates that approximately 80.65% of the variance in the dependent variable can be explained by the independent variable in the regression model.

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What is the difference between linear and quadratic regression?

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Linear regression fits a straight line to the data, while quadratic regression fits a parabolic curve, allowing for a more complex relationship between the variables.

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How do you find the r² value for a regression equation?

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The r² value is calculated by taking the square of the correlation coefficient (r) between the observed and predicted values.