use your calculator to graph the following equation in the same window:
Show your graphs here. Draw the graphs accurately, being especially careful to get the right values at
1 andx: -1.
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Polynomial in one variable: A polynomial degree n in one variable x is an expression where the numbers in front
of the variables are integers. Ex) 3xa + 4x3 - 6xz + 4x - 7
7-7 Operations of Functions
Algebra of Functions: Finding the sum, difference, product, and quotient of functions to
Lf +sxx) = f (x)+ g(x)
7-8 Inverse Functions
Two relations are inverse relations if and only if whenever on relation contains
the element (a,b)" the other relation contains the element (b,a)
uare Root Functions and In
A function that contains the square root of a variable expression.
Like parabolas (quadratic functions), square root functions can be graphed
+ k , where a:vertical stre
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Chapter 6 Review
12. The quadratic equation xz + &: 1 is to be solved by completing the square'
Which equation would be the first step in tlat solution?
6.3 Factoring Review
Example) Factor 4-term polynomials by grouping.
1. Factor out GCF
2. Group into two groups.
3. Find GCF of each gr
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6.4 Completing the Square
Property I Fo, ury real number x, ifx2 = n , thenx = +Ji
Example) Solve each equation by using the square root property.
a) x2 -8x+16=25
1. Rewrite polynomial in pe
5-6 Radical Expressions
Objective 1: Use the product rule for radicals.
Product Rule for Radicals: lf qfa and tl6 are rea] numbers, then cfw_a . lt6
To simplify a square root, follow these steps:
1. Factor the radicand into as many squares as possible.
5-7 Rational Exponents
Objective 1: Understand the meaning ol a* .
Definition: lf r is a positive integer greater than 1 and da is a real number, lhen da : a*
the denominator of the rational exponent corresponds to the index of the radical.
5-8 Radical Equations
Objective 1: Solve equations that contain radical expressions.
Solving a Radical Expression
Step 1: isolate one radical on one side of the equation.
Step 2: Raise each side of the equation to a power that will eliminate the radical a
5-9 Complex Numbers
Objective 1: Define imaginary and complex numbers.
lmaginary unit: i L 1:7
. Ja i,la
Example 1: Write with i notation.
Example 2: Multiply or divide as indicated.
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Graphing Quadratic Functions
The parent function
Use a table to plot points and graph:
'ir . 'jrl\
! = x2. Show your work here:
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