Unformatted text preview: B above, where y is the cost in dollars of producing x items. By how much does y change as x changes from to 1 unit? from 1 to 2 units? How does this show the relationship is not linear? Find the equation of the line between the points on the graph when x = 1 and x = 2 and draw it on the graph. This is called a secant line to y = √ x . Show that the graph above and the line y = 1 2 x + 1 2 intersect in just one point P . Draw the line and point P on the axes. This line is called the tangent line to the graph of y = √ x at P . point P is ( 1 , 1 ) Find an equation for the line perpendicular to the tangent line at point P , and draw it on the axes. This line is called the normal line to the graph of y = √ x at P . normal line is: y = 3-2 x Open-ended question: What might the slopes of the tangent and secant lines tell you about the relation y = √ x ? That is, do they tell us anything signiﬁcant?...
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This note was uploaded on 12/27/2011 for the course MAC 2233 taught by Professor Smith during the Spring '08 term at University of Florida.
- Spring '08