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# Calculus Chapter 1

f(-x)=f(x) even
f(-x)=f(x) odd
A _____ f is a rule that assigns to each element x in a get D exactly one element, called f(x) in a set. function
__ is the independent Y
__ is the dependent X
A Curve in the xy-plane is the graph of a function of x; f and only if no vertical line intersects the curve more than once The vertical Line test.
What type of function is y=mx+b? Linear function
What type of function is y=a(n)x^n+a(n-1)x^(n-1) ... a(2)x^2,a(1),a(0) polynomial function
What type of function is y=ax^2+bx+c quadratic function
What type of function is y=ax^3+bx^2+cx+d cubic function
What type of function is (-b(+-)((b^2-4ac)^(.5)))/2a quadratic formula
What type of function is y=x^a power function
What type of function is y=(x)^(1/n) root function
domain of y=(x)^(1/n) n=even D: [0,inf)
domain of y=(x)^(1/n) n=odd D: (-inf,inf)
What type of function is y=1/x reciprocal function
What type of function is y=P(x)/Q(x) rational function
What type of function is y=sin(x), cos(x) trigonometric function
What type of function is y=a^x exponential function
What type of function is y=log(a)x logarithmic function
What happens when you y=f(x)+c? shift c upward
What happens when you y=f(x)-c? shift c downward
What happens when you y=f(x+c)? shift c left
What happens when you y=f(x-c)? shift c right
What happens when you y=cf(x)? stretch vertically by c
What happens when you y=(1/c)f(x)? compress vertically by c
What happens when you y=f(cx)? compress horizontally by c
What happens when you y=f(x/c))? stretch horizontally by c
What happens when you y=-f(x)? reflect about the x-axis
What happens when you y=f(-x)? reflect about the y-axis
Created by: 1341321674