(Function Combinations) Characteristics Exercises Ex 7.4 # 1 - 6 graphing the results and finding all characteristics, 10, 11; Ex 7.5 # 15, 16
(Function Combinations) Stewart Calculus Problems # 23, 24, 29, 30, 33, 34, 35, 36 for each question graphing the resulting function and finding all characteristics where possible (some of these will be very tough!)
Start these - will not be able to finish all these today
(Function Combinations) Characteristics Exercises Ex 7.4 # 1 - 6 graphing the results and finding all characteristics, 10, 11; Ex 7.5 # 15, 16
(Function Combinations) Stewart Calculus Problems # 23, 24, 29, 30, 33, 34, 35, 36 for each question graphing the resulting function and finding all characteristics where possible (some of these will be very tough!)
For each strand, warm up on simple ideas, then work on topics that you find most challenging
Test will cover all strands + problem solving as usual
Will have some emphasis on recent lessons - inequalities, function combination, logarithm and exponential applications, tangent function, trig modelling, solving equations, trig identities, inverse functions, conditional probability
There might be some parts we haven't seen before - try and figure them out anyway!
You may want to graph some functions in Desmos - where are the qualitative properties occurring?
Assisted if necessary by Desmos, sketch all qualitatively different lines in factored form
Extend to any parabolas, cubics (degree 3), and quartics (degree 4) by building up higher degree polynomials as factors of lower degree polynomials - did you enumerate all the types of each degree?
How does this generalize for higher degree polynomials?