Pre Calc Unit 2 Quiz 1

Rational Zero Test=

-All possible factors of the constant divided by all the possible factors of the leading coefficient

Remainder Therorem

The remainder in division is the value at y for that particular x ex. divisor is -1 and remainder is 9 then f(-1)=9

standard form of complex numbers

a+/- bi

end behavior of an odd negative function

as x approaches - infinity, f(x) approaches + infinity as x approaches + infinity, f(x) approaches - infinity

end behavior of an even positive function

as x approaches - infinity, f(x) approaches + infinity as x approaches + infinity, f(x) approaches + infinity

end behavior of an odd positive function

as x approaches - infinity, f(x) approaches - infinity as x approaches + infinity, f(x) approaches + infinity

end behavior of an even negative function

as x approaches - infinity, f(x) approaches - infinity as x approaches infinity, f(x) approaches - infinity

the number of zeros is

equal to the degree of the function

standard form

f(x)=a(x-h)^2+k

general form

f(x)=ax^2+bx+c

General Form is useful for what?

finding intercepts

standard form is useful for what?

finding the vertex (h,k)

formula or x-intercept, x coordinate of vertex, axis of sym

h=-b/2a

Factor Theorem

if the remainder is a zero, then what you are dividing by is a factor

the number of turns is

one less then the degree of the function

i=

sqrt(-1)

if b = 0 then

the number is a real number

if a =0 and b cannot = 0 then

the number is called an imaginary number