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an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

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y=x is a Line of symmetry for a function and its inverse
Domain(x value) and range (y value) switch f(x) same as y
Inverse steps: 1 Write Function using x & y
2: Switch the X & Y
3: Solve for Y
Inter
Parent Function:

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> greater than

≥ greater than or equal to

< less than

≤ less than or equal to

[ ] a square bracket when we want to include the end value, or

( ) a round bracket when we don't

means all the numbers between 0 and 20, do not include 0, but do include 20

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Translation- f(x+h), H>0
Reflection- -f(x)
Dilation- f(bx), b>1

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Is a method for finding a MIN. and MAX. value of some quantity, given constraints
Feasible region- All of the points that satisfy all the constraint
- The MAX. and MIN. always occur at a vertex of the Feasible region.

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Solving Systems of Equations by Graphing

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Solving Systems of Equations by Graphing

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The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.

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Any number in the form at bi, where a and b are real  numbers and i is the Imaginary unit
a- the real part
i- imaginary part

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The solutions to a quadratic equation are called the x intercept, zeros; or roots
Steps:
1. Multiply ac
2. What two numbers multiply to get ac and add to get b
3. Make box
4.Find GCF of each
5. Write GCF in parenthesis

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quadratic function, y = ax² + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value.

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Operations of Polynomials in Function Notation

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Operations of Polynomials in Function Notation

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(f+g)(x)= f(x) + g(x)
(f-g)(x)= f(x) - g(x)
(fg)(x)= f(x) * g(x)
(f/g)(x)= f(x)/g(x)
(f o g)(x)= f(g(x))

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Rational Zeros and Descartes rule of signs

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Rational Zeros and Descartes rule of signs

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The number of positive real zeros is either the same as the number of sign changes of f(x) or less than the number of sign changes by a positive even integer.

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Is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear factor and it only works in this case.