4-4 Compare Functions Homework

Front

What is the rate of change in a function?

Back

The rate of change in a function describes how much the output (y) changes for a change in the input (x). It is often represented as the slope of the line in a linear function.

Front

How do you determine the slope of a line from an equation?

Back

The slope of a line in the equation y = mx + b is represented by 'm'. It indicates the steepness and direction of the line.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is the value of y when x = 0.

Front

How can you compare the slopes of two equations?

Back

To compare the slopes, identify the coefficients of x in each equation. The larger the coefficient, the steeper the slope.

Front

What does it mean if two lines have the same slope?

Back

If two lines have the same slope, they are parallel and will never intersect.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the starting value of y when x is zero, providing insight into the function's behavior.

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change from a table, calculate the difference in y-values divided by the difference in x-values between two points.

Front

What is the difference between a function represented as an equation, a table, and a graph?

Back

An equation provides a formula, a table lists values, and a graph visually represents the relationship between x and y.

Front

How do you identify which equation has a greater y-intercept?

Back

Compare the constant term (b) in the equations of the form y = mx + b. The larger the constant, the greater the y-intercept.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.