Comparing Functions Review

Front

What is the Rate of Change in a linear function?

Back

The Rate of Change is the ratio of the change in the dependent variable (y) to the change in the independent variable (x), often represented as the slope (m) in the equation y = mx + b.

Front

What is the Initial Value in a linear function?

Back

The Initial Value is the value of the dependent variable (y) when the independent variable (x) is zero, also known as the y-intercept.

Front

How do you find the Rate of Change from a graph?

Back

To find the Rate of Change, select two points on the line, calculate the difference in y-values and the difference in x-values, and divide the change in y by the change in x.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the point where the graph crosses the y-axis, indicating the initial value of the function.

Front

If a function has a slope of 2, what does this indicate?

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units.

Front

What is a Non-Linear function?

Back

A Non-Linear function is a function that does not have a constant rate of change, meaning its graph is not a straight line.

Front

How can you identify the slope from a linear equation?

Back

In the equation of a line in slope-intercept form (y = mx + b), the slope (m) is the coefficient of x.

Front

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

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a function?

Back

A negative slope indicates that as the value of x increases, the value of y decreases, showing an inverse relationship.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in real-world contexts, such as speed, cost per item, or growth rates.