Unit 2 Unit Review

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 determine the graph of a piecewise function?

Back

To determine the graph of a piecewise function, evaluate the function at different intervals and plot the corresponding points using the appropriate expressions.

Front

What does the correlation coefficient (r) indicate?

Back

The correlation coefficient (r) indicates the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of r=0.044 signify?

Back

A correlation coefficient of r=0.044 signifies a weak positive correlation between the two variables.

Front

How can you identify if two functions are inverses?

Back

Two functions are inverses if their compositions yield the identity function, meaning f(g(x)) = x and g(f(x)) = x for all x in the domain.

Front

What is the general form of a piecewise function?

Back

The general form of a piecewise function is: f(x) = { expression1 for x in interval1, expression2 for x in interval2, ... }.

Front

What is the significance of the domain in piecewise functions?

Back

The domain in piecewise functions specifies the intervals over which each piece of the function is valid.

Front

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

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression.

Front

What is the difference between a strong and weak correlation?

Back

A strong correlation indicates a close relationship between two variables, while a weak correlation indicates a loose relationship.

Front

What is the range of the correlation coefficient?

Back

The range of the correlation coefficient is from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.