8.F.4 - Constructing Functions: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values
Of course, Learnzillion has a wonderful collection of lessons that can walk you through what this standard is about. If you navigate to learnzillion.com you can watch this collection of videos that will help to explain more about this.
You can write a function rule from a table by noticing the pattern in the table and using it to find your rate of change (slope) and the intercept (initial value/starting point). You can also go to this YouTube Video to see more of how to do this.
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Your Rate of Change shows how much the y value changes compared to the x. You can see in the example to the right different ways to show this.
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