Intro

• Additive inverse property

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• Multiplicative inverse property

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• The domain of a relation is the set of all the input values, usually listed from least to greatest.

  
  

  The range is the set of all the output values, also often listed from least to greatest.

  
  

  Usually, the domain is the x-variable and the range is y
• slope-intercept form

  $y =$$mx +$$b$

  where m is the slope and b is the y-intercept.
• You can change equations that aren’t written in slope-intercept form to that form by solving for y
• Slope is often expressed as a fraction because it’s rise over run.
• Formula used for finding the distance between two points on a graph.

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• Formula used to find the midpoint of a segment.

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• Formula used to find the slope of a line.

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• Positive slopes always move up when going to the right or move down going to the left on the plane.

  Negative slopes move either down when going right or up when going left.
• Horizontal lines have zero slope, and vertical lines have undefined slope.
• Exponent Product Rule

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• Exponent Quotient Rule

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• Exponent Power of a Power Rule

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• Exponent Power of a Product Rule

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• Exponent Power of a Quotient Rule

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• Zero Exponent Rule

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• Negative Exponent Rule

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• Fractional Exponent Rule

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• The 5 different ways to describe sets of numbers on a number line.

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• If you multiply or divide an inequality by a negative number, you must change the inequality sign to face the opposite way.
• The two types of absolute value inequalities:

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• If the absolute value is less than (<) or less than or equal to a negative number...

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• If the result of an absolute value is greater than or equal to a negative number...

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• To solve and graph an inequality with an absolute value — follow these steps:

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• Rewriting radicals as exponents:

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• the process used to get rid of radicals in the denominator is called rationalizing the denominator.
• In the rationalized form, a numerator of a fraction can contain a radical, but the denominator can’t. The final expression may look more complicated in its rational form, but that’s what you have to do sometimes.
• Steps to rationalizing a square root in the denominator:

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• Steps to rationalizing a cube root in the denominator:


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• If a function is even, the graph is symmetrical over the y-axis. If the function is odd, the graph is symmetrical about the origin.
• How do you rationalize cube root in the denominator?

  Multiply the numerator and denominator by the cube root (squared)!

  
• How do you rationalize a root in the denominator that's part of a binomial? 


  Getting rid of the radical in these denominators involves using the conjugate of the denominators. A conjugate is a binomial formed by using the opposite of the second term of the original binomial.

  
• How do you rationalize a root in the numerator?

  Multiply both the numerator and denominator by the conjugate of the root in the numerator.

  
• What are the properties of a linear function?

  Constant rate of change, passes through the origin, and has a straight line graph.

  It bisects the first and third quadrants. The parent function is odd, so it has symmetry about the origin.

  
• What are the properties of a square root function?

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• How do you plot the graph of a square root function?

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• How do you plot a graph of an absolute value function?

  V-shaped graph.

  
• How do you plot the graph of a cubic function?

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• How do you plot the graph of a cube root function?

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