Test Linear Functions 2

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = 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 of a linear function represents the rate of change of the function. It indicates how much the y-value changes for a one-unit increase in the x-value.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the function f(x) = mx + b.

Front

How do you determine if a point lies on the graph of a linear function?

Back

To determine if a point (x, y) lies on the graph of a linear function, substitute the x-value into the function and see if the resulting y-value matches the y-value of the point.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

Front

What does it mean for a linear function to be increasing?

Back

A linear function is increasing if its slope (m) is positive, meaning that as x increases, y also increases.

Front

What does it mean for a linear function to be decreasing?

Back

A linear function is decreasing if its slope (m) is negative, meaning that as x increases, y decreases.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). A relation can have multiple outputs for a single input.

Front

How can you identify a linear inequality?

Back

A linear inequality can be identified by its form, which is similar to a linear equation but includes inequality symbols (>, <, ≥, ≤) instead of an equal sign.

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a region of the coordinate plane that is either above or below a line, depending on the inequality sign. The line may be dashed or solid.