Pre-Cal Fall 2015 Final Review

Pre-Cal Fall 2015 Final Review
Go back to past test reviews and tests that you have and review these topics for the final. If you have
misplaced these you can always reprint the reviews from my website or use the book reviews. 
Unit 1
1) Be able to use slope, midpoint, and distance formulas and plot points.
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Know how to tell if a group of points represents a function.
Know how to tell if a graph represents a function (vertical line test)
Writing equations of parallel and perpendicular lines.
Writing equations of lines given
a. Two points
b. One point and slope
c. Slope and y-intercept
Writing linear equations in standard form.
Be able to identify domain and range of square root functions and rational functions.
Be able to find the zeros (x-intercepts) of a function.
Simplifying variable expressions: FOIL, combining like terms, etc…
Find the average rate of change of a function.
Determine whether a function is even, odd, or neither.
Evaluate piecewise functions for a particular value of x.
Know the quadrants of the coordinate plane.
Increasing and decreasing intervals.
Unit 2
1) Evaluate different functions at certain values of x.
2) Functions operations 𝑓 + 𝑔, 𝑓 − 𝑔, 𝑓 ∙ 𝑔,
𝑓
𝑔
3) Function compositions ′fog' 𝑓(𝑔(𝑥)), ′𝑔𝑜𝑓′ 𝑔(𝑓(𝑥))
4) Be able to identify transformations to parent functions. (up/down, left/right, stretch/shrink,
reflect)
5) Be able to identify and graph these parent functions with or without transformations: linear,
quadratic, cubic, absolute value
6) Find the inverse of functions.
Unit 3
1) Identify transformations of parent functions.
2) Sketch transformations of parent functions.
3) Describe right and left hand behavior.
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Sketch graphs using the graphing calculator.
Divide using long division.
Divide using synthetic division.
Use synthetic division to determine whether given values are zeros.
Use synthetic division to find function values.
Factoring
1) Factoring with Greatest common factor.
2) Factoring with leading coefficient of 1: 𝑥 2 + 𝑏𝑥 + 𝑐
3) Factoring with leading coefficient not 1: 𝑎𝑥 2 + 𝑏𝑥 + 𝑐
Unit 4
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Write complex numbers in standard form (a+bi)
Add, subtract, multiply, and divide complex numbers.
Write complex quotients in standard form. (multiply by conjugate)
Use quadratic equation to find real and imaginary solutions.
Identify zeros of a factored function.
Find all possible rational zeros and use calculator and synthetic division to verify.
Write polynomials as products of linear factors.
Unit 5
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Evaluate log and exponential functions at given values of x.
Use one-to-one property to solve log and exponential functions.
Be able to rewrite log functions and exponentials and exponentials as logs.
Use properties of logs to expand and condense log expressions.
Use change of base formula to approximate values of logs.
Solve log and exponential equations with all of the above.