Review Topics:
Midterm 2 will cover 2.3, 2.4, 2.5, 2.6, 3.1, 3.2, 3.3, 3.4, 3.5, 7.1, & 7.2
Things to know…
• Long Division (Polynomials)
• Synthetic Division (Polynomials)
• Complex Numbers
o Standard Form
o Powers of the imaginary unit i
o Complex Conjugates
o Add/Subtract
o Multiply
o Divide
• Functions
o Polynomials (Higher Degree)
 Find Complex Zeros
 Find all Zeros (Rational Zeros Test, Descartes’ Rule of
Signs, Upper/Lower Bound rules, factoring,
completing the square, quadratic formula)
 Write in Factored form
 Identify number of Zeros & and possible number of
turns
 Identify the End Behavior
 Identify the domain
 Find x-intercept(s) & y-intercept
o Rational
 Identify asymptotes (Vertical, Horizontal, Slant) – Note:
Asymptotes are lines!
 Simplify
 Identify the domain
 Find x-intercept(s) & y-intercept
 Sketch
o Exponential
 Evaluate
 Identify domain and range
 Identify horizontal asymptote
 Find x-intercept & y-intercept
 Sketch (using transformations)
o Logarithmic
 Simplify
 Identify domain and range
 Identify vertical asymptote
 Find x-intercept & y-intercept
 Sketch (using transformations)
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Understand the relationship between exponential and logarithmic
functions
Properties of logs and exponents
o Use logarithmic properties to expand a log expression
o Use logarithmic properties to condense a log expression
o Use logarithmic properties to evaluate a log expression
How to solve logarithmic and exponential equations
Models (Exponential & Logarithmic)
o Simple Interest (LINEAR)
o Compound Interest
o Continuously Compounded Interest
o Exponential Growth or Decay
o Logarithmic
o Logistic Growth
o Gaussian
Systems of equations
o Solve non-linear systems of equations
 By substitution
 By graphing
o Solve linear 2x2 systems of equations
 By substitution
 By elimination
 By graphing
Some Practice Problems…
p. 209-211 #47-107 odd, 111-133 odd
p. 212 #4-9, 11, 13, 14-16
p.271-274 #7-10, 11, 13, 23, 25, 35, 41-57 odd, 65, 67, 75-93 odd, 97113 odd, 119-129 odd, 135, 137-142, 145-147
p. 275 #15-25 odd
p. 563 #5-11 odd, 19, 23, 25, 26, 27-30