Front

What is a piecewise function?

Back

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

Front

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

Back

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.

Tags

CCSS.HSF.IF.A.2

Front

What is the formula for a linear function?

Back

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.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

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

Back

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).

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of a function?

Back

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

Front

How do you determine the domain of a piecewise function?

Back

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

Front

What does r² represent in statistics?

Back

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.

Tags

CCSS.HSS.ID.B.6B

Front

How do you interpret an r² value of 0.8065?

Back

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.

Front

What is the difference between linear and quadratic regression?

Back

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.

Front

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

Back

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

Tags

CCSS.HSS.ID.B.6B