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ax2+bx+c=0
Quadratic Equation (standard form)
Ax+By=C
Linear Equation (standard form)
Quadratic Formula
f(x)=mx+b
Linear Function (standard form)
m=Δy/Δx
Average Rate of Change of a Linear Function
horizontal line test
used to test if a function has a one-to-one property
vertical line test
used to test if a relation is a function
domain of a function
all real numbers
in f(5)=3, what is 5 and what is 3?
domain, range
identity function
f(x)=x
square root function
f(x)=√x,where x is a nonnegative real number
exponential function
f(x)=b^x, where x is a positive real number and b != 1
absolute value function
f(x)=|x|, with domain of all real mumbers
Midpoint Formula
M=(x,y)=((x1+x2)/2) +( (y1+y2)/2)
Distance Formula
d(P1,P2)=√( (x2-x1)2) + (2-y1)2) )
Symmetric with Respect to the y-axis
if for every point (a,b) on the graph, there is also a point (-a,b) on the graph
Symmetric with Respect to the x-axis
if for every point (a,b) on the graph, there is also a point (a,-b) on the graph
Symmetric with Respect to the origin
if for every point (a,b) on the graph, there is also a point (-a,-b) on the graph
Point Slope Form
y-y1=m(x-x1)
Equation of Vertical Line
x=a, where a is the x-intercept
Equation of a Horizontal Line
y=b, where b is the y-intercept
x of y cards