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(Rules (Quotient Rule for Exponents: to divide two exponents with the same…
Rules
Quotient Rule for Exponents: to divide two exponents with the same base, you keep the base and subtract the powers
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Power Rule for Exponents: when multiplying two powers that have the same base, you can add the exponents
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Product Rule for Exponents: when multiplying two powers that have the same base, you can add the exponents
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Linear Equations
Two points on a line
Point 1= (0,-2) Point 2= (3,4)
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Slope and a point
Slope = 3/2 Point = (-2,1)
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Vocabulary
Equation: a statement that the values of two mathematical expressions are equal (indicated by the sign =) Example: x+1=4
Exponent: a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Example: 3 in 23 = 2 × 2 × 2
Expression: An algebraic expression is a mathematical phrase that can contain ordinary numbers, variables (like x or y) and operators (like add,subtract,multiply, and divide) Example: 2x+3
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Term: A term is either a single number or variable, or numbers and variables multiplied together. Examples: 
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Slope
Numerical Form: When looking at slope in it's numerical form (m=__)
you will most likely see an equation. This would be
Graphical Form: Slope in its graphical form is when you see a line on a graph. When we first learned how to do slope we would "bunny hop" which means it would be up 1 over 2 for example.
Function notation is the way a function is written. It is meant to be a precise way of giving information about the function without a rather lengthy written explanation. The most popular function notation is f (x) which is read "f of x".
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Definitions
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Maximums: The value of a function at a certain point in its domain, which is greater than or equal to the values at all other points in the immediate vicinity of the point.
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Domain: The domain of a function is the complete set of possible values of the independent variable.
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Piecewise Functions
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Green and blue functions are closed on either side of the function while the red on in the middle is open circle on either side
A piecewise-defined function is a function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain.
When shopping for groceries, there is a discount on bags of chips that originally cost $3. If you buy an additional bag of chips, you get $2 off the total cost of chips. For each additional bag of chips you buy, you get $2 off. The y intercept is 0 because if you don't buy any chips, you don't have to pay anything and you don't get a discount. y=-2x+3
A cars price goes down $500 for every 1,000 miles driven. A new jeep costs $24,000. Find out how much the worth of the car decreases if someone puts 30,000 miles on it. y=-500x+24,000