Function Basics

Front

What is a linear function?

Back

Front

What is a nonlinear function?

Back

Front

How can you identify a linear function from its graph?

Back

A linear function can be identified by a graph that forms a straight line. If the graph curves or bends, it is nonlinear.

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept (b) is the point where the graph of the function crosses the y-axis. It represents the value of y when x = 0.

Front

What is the difference between a function and not a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value). If an input has multiple outputs, it is not a function.

Front

How can you determine if a set of ordered pairs is a function?

Back

To determine if a set of ordered pairs is a function, check if any x-value is repeated with different y-values. If so, it is not a function.

Front

What is the standard form of a linear equation?

Back

Front

What is the significance of the graph of a function?

Back

The graph of a function visually represents the relationship between the input (x) and output (y) values, making it easier to analyze and interpret.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it is not a function.