Math 8 Unit 2 Mid-Review

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 y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the equation of a linear function?

Back

An example of a linear function is y = 8x.

Front

What does it mean for a function to be linear?

Back

A function is linear if it has a constant rate of change and can be represented by a straight line on a graph.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while nonlinear functions do not have a constant rate of change and can graph as curves.

Front

What is an initial value in a function?

Back

The initial value is the value of the function when the independent variable (usually x) is zero, represented by the y-intercept in the equation.

Front

What is a rate of change?

Back

The rate of change is a measure of how much a quantity changes in relation to another quantity, often represented by the slope in a linear function.

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 that no vertical line intersects the graph at more than one point.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line drawn intersects the graph at more than one point.

Front

What does it mean for two functions to have the same rate of change?

Back

If two functions have the same rate of change, their slopes are equal, indicating that they increase or decrease at the same rate.

Front

What is the significance of different initial values in functions?

Back

Different initial values indicate that the functions start at different points on the y-axis, affecting their overall position but not their rate of change.