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Math 100 Test 1 Study Guide

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MATH 100 TEST 1 STUDY GUIDE

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MATH 100 TEST 1 STUDY GUIDE

y-axis symmetry - Answers -x,y and -x,y are on the same graph
test by replacing x with -x

x-axis symmetry - Answers -x,y and x,-y are on the same graph
*not functions since they fail the vertical line test
test by replacing y with -y

symmetrical about the origin - Answers -x,y and -x,-y are on the same graph
test by replacing x with -x and y with -y

finding points of intersection - Answers -make the two equations equal each other and
solve for the variable

slope intercept form - Answers -y=mx+b
m=slope
b= y-int

point-slope form - Answers -y-y1=m(x-x1)

y1,x1 is any point on the graph
m=slope

general form - Answers -0=Ax+By+C

vertical lines - Answers -x=a
undefined

horizzontal lines - Answers -y=b
zero slope

parallel lines - Answers -same slope

perpendicular lines - Answers -slopes are negative reciprocals
(3 and -1/3)

vertical line test - Answers -determines if an equation is a function

even functions - Answers -f(-x) = f(x) for all x values

odd functions - Answers -f(x) = -f(x) for all x-values

well-behaved functions - Answers --polynomial functions
-rational functions

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