Midterm Review by Jillian Foster

Polynomials

s1225486 — 2018-03-12 14:11:54 UTC

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

Inverse

s1225486 — 2018-03-12 15:26:29 UTC

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:

System of Inequalities

s1225486 — 2018-03-13 12:56:13 UTC

Transformation

s1225486 — 2018-03-13 12:58:27 UTC

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

Linear Programming

s1225486 — 2018-03-13 13:11:55 UTC

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.

Interval, inequality, and Graph

s1225486 — 2018-03-13 13:15:03 UTC

> 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

Complex Numbers

s1225486 — 2018-03-13 13:27:09 UTC

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

Solve quadratic formula by factoring

s1225486 — 2018-03-13 13:43:59 UTC

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

Graphing Quadratic

s1225486 — 2018-03-13 14:02:08 UTC

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.

Operations of Polynomials in Function Notation

s1225486 — 2018-03-14 04:19:46 UTC

(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))

Rational Zeros and Descartes rule of signs

s1225486 — 2018-03-14 04:29:22 UTC

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.

Quadratic Formula

s1225486 — 2018-03-14 04:42:26 UTC

Solving Systems of Equations by Graphing

s1225486 — 2018-03-14 05:00:24 UTC

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.

Synthetic Division

s1225486 — 2018-03-14 05:08:54 UTC

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.