Math Algebra 1 Functions Average rate of change. Introduction to average rate of change. Worked example: average rate of change from graph. Worked example: average rate of change from table. Related questions Can average rate of change be negative?
How is average rate of change related to linear functions? How is average rate of change related to slope? This concept of slope will become so important as we start to work more and more with linear and non-linear functions. Spending more time with this concept and practice how to find slopes will help you a lot as we work with more functions and equations!
Slope , or rate of change , is essentially the "steepness" of a line. We refer to it as the rise over run because it's the ratio of how much something rises moved upward or downward and how much it runs moves left or right.
If a road had a horizontal distance of 3 miles and a vertical distance of 6 miles, what would be its slope? We use the rise over run formula to find the rate of change. Algebra 1 Slope and Rate of Change. Go to Topic. Explanations 3 Alex Federspiel.
Video Slope Formula by mathman Image source: By Caroline Kulczycky. Made using Desmos. Rate of Change A rate of change is a rate that describes how one quantity changes in relation to another quantity. Positive rate of change When the value of x increases, the value of y increases and the graph slants upward.
Negative rate of change When the value of x increases, the value of y decreases and the graph slants downward. Zero rate of change When the value of x increases, the value of y remains constant. Example: Use the table to find the rate of change. Then graph it.
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