Functions Review

Front

What is a function?

Back

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

Front

What is the initial value of a linear equation?

Back

The initial value of a linear equation is the y-intercept, which is the value of y when x = 0.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and can be represented by a straight line, while nonlinear functions do not have a constant rate of change and can be represented by curves.

Front

What are inputs and outputs in a function?

Back

Inputs are the x-values (independent variable) and outputs are the y-values (dependent variable) in a function.

Front

What is the slope of a linear equation?

Back

The slope of a linear equation represents the rate of change of y with respect to x, calculated as the change in y divided by the change in x.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the x-values increase, the y-values also increase.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the x-values increase, the y-values decrease.

Front

What is a linear equation in slope-intercept form?

Back

A linear equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a y-intercept?

Back

The y-intercept is the point where the graph of a function crosses the y-axis, represented by the coordinates (0, b).