ANTH 2 Chapter 2: Chapter 2 (S&S)
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Definition: a linear function (always degree 1) in slope-intercept form is a function of the form y = mx + b , where m is the slope of the line and b is the y-intercept of the line. This form is most helpful for graphing a line. Ex: if f(3) = 2 and f(-3) = -4, find the linear function defining f(x) in the slope-intercept form. Then graph the function, labeling x and y-intercept. Linear functions have a constant average rate of change. The average rate of change of change for a linear function y = mx + b is the slope m. Let"s apply this concept on the example given above. Write the function in standard form: what celsius temperature corresponds to 98. 60f, find a number z for which z0f=z0c. Example 2: suppose that the quantity supplied s and the quantity demanded d of t-shirts at a concert are given by the following functions: