Chapter 7 Review Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every input value (x), there is a unique output value (y).

Front

What is a linear function?

Back

Front

What does the slope of a line 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 is the y-intercept of a linear function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input value (x) corresponds to exactly one output value (y). This can be checked using the vertical line test on a graph.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its corresponding output.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions produce a straight line when graphed, while nonlinear functions produce curves or other shapes.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (y) decreases.