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
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