ALGEBRA II - FIRST SIX WEEKS REVIEW

ALGEBRA I - SLOPE INTERCEPT, STANDARD FORM, AND SOLVING

• Slope Intercept form: y=mx+b where "m" is slope, and "b" is y-intercept
• Standard form: Put all variables on one side of "=", and numbers on other
• We will solve equations for the rest of our math life, it is the basis of everything
• To graph functions we will most of the time put them into slope intercept
• When solving a system we will put the function into standard form

DOMAIN AND RANGE

• Domain is all of the possible y values
• Range is all of the possible x values
• Domain and range are constraints that limit the amount of possible coordinates
• We can use domain and range to help write inequality equations from graphs
• It helps when writing piecewise functions because it gives you the different pieces

LINEAR FUNCTIONS

• Linear functions are any functions that make straight lines when graphed
• Linear functions will be used in "linear" systems of equations
• They are the basis of algebra really, just f(x) = x is a linear parent function
• A piecewise function is two linear functions that split off in two different directions

PIECEWISE FUNCTIONS

• Piecewise functions are functions that split up different equations
• They use an equation in slope intercept form and an inequality to specify where the line is split
• Piecewise functions will be very useful for drawing pictures on graphs

ABSOLUTE VALUE FUNCTIONS

• Absolute value functions have the parent function f(x) = |x|
• They can be used in any equations that require or contain distance
• The absolute value of a putt is a good example, www.tinyurl.com/absofputt
• When the golf ball goes to the hole the distance decreases and the hole is the origin
• When it passes the hole the distance increases again

SYSTEMS OF LINEAR EQUATIONS

• Systems are two or three equations that contain variables for different situations
• They can be used to find the intersection of planes in 3D functions
• They use linear equations in standard form in their writing
• They can contain absolute value functions and and linear functions