Module 4 Topic 1<br />Coordinate Planes/Midpoint/Relations and Functions<br />
Example 1<br />Similar Problem: Follow these directions on a blank coordinate plane: Begin at the origin, move right 5 units, down 4 units. What are the coordinates of the ordered pair have you just graphed?<br />Right 5 is going to be x = 5<br />Down 4 is going to be y = -4<br />(5, -4)<br />
Example 2<br />For a function to exist, if you are looking at a set of ordered, none of the x-values can repeat. So if the x-values repeat at all then it is not a function.<br />
Example 3<br />For a function to exist, if you are looking at a table, none of the x-values can repeat. So if the x-values repeat at all then it is not a function.<br />
Example 4<br />Remember that if you have a vertical line it is not a function because it does not pass the vertical line test.<br />
Example 5<br />Similar Problem: Let f(x) = 10x - 5.5. Find the value of f(3).<br />10x - 5.5 Plug in 3 for x and evaluate. <br />10(3) - 5.5<br />30 - 5.5<br />24.5<br />
Example 6<br />Similar Problem: Let g(x) = x2 - 4x + 9. Find the value of g(-3)<br />Plug in -3 for x.<br />x2 - 4x + 9<br />(-3)2 - 4(-3) + 9<br />9 - (-12) + 9<br />9 + 12 + 9 <br />30<br />
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