Linear Functions Review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

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 from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you shift a linear function down by 5 units?

Back

To shift a linear function down by 5 units, subtract 5 from the y-value in the function's equation.

Front

What is a constant correlation?

Back

A constant correlation indicates that the relationship between two variables does not change; one variable remains constant regardless of the other.