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A polynomial will be an even function when all the exponents are -
ANSWER-even
A polynomial will be an odd function when all the exponents are -
ANSWER-odd
A rational function is a quotient of - ANSWER-polynomials
A rational number can always be written in what form? - ANSWER-As
a fraction, where a and b are integers (b not equal to 0).
absolute value function - ANSWER-y = |x|
asymptote - ANSWER-a straight line that a graph comes closer and
closer to but never touches.
But if we multiply f(x) by a number less than 1 -- as in the graph on the
right - ANSWER-then every y-value is shrunk
completing the square - ANSWER-1) Transpose the constant term to
the right
, 2) Add a square number to both sides. Add the square of half the
coefficient of x.
3) The left-hand side is now the perfect square
Conjugate pairs - ANSWER-If the irrational number a + Square root of
b is a root, then its conjugate a − square root of b is also a root.
construct the quadratic roots - ANSWER-The sum of the roots & their
product
Construct the quadratic whose roots are 2 + iSquare root of 5, 2 −
iSquare root of 5 - ANSWER-The sum of the roots is 4. Their product is
4 − (iSquare root of 5)2 = 4 + 5 = 9.
Therefore, the quadratic is x2 − 4x + 9.
Construct the quadratic whose roots are 3 + Square root of 3, 3 −
Square root of 3. - ANSWER-The sum of the roots is 6. Their product is
9 − 3 = 6.
Therefore, the quadratic is x2 − 6x + 6.
cos - ANSWER-adjacent/hypotenuse
cos-1 - ANSWER-adj/hypotenuse
cot - ANSWER-adj/opposite
cot - ANSWER-cos/sin & 1/tan
csc - ANSWER-1/sin
csc - ANSWER-hypotenuse/opposite
cubic function - ANSWER-y = x3