Functions Unit Review 24.25

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

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

Back

A set of ordered pairs is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions create straight lines when graphed, while nonlinear functions create curves or other shapes.

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is the rate of change in a real-world context?

Back

The rate of change is a measure of how much one quantity changes in relation to another, often represented as slope in a linear equation.

Front

What is an example of a nonlinear function?

Back

An example of a nonlinear function is y = x^2, which creates a parabolic curve when graphed.

Front

What does it mean for a function to be 'not a function'?

Back

A relation is 'not a function' if at least one input is associated with multiple outputs.

Front

How can you identify a linear function from a table of values?

Back

A linear function will have a constant rate of change (slope) between the x-values and y-values in the table.