Chapter 2. Functions
• domain, range, expression, table, graph, difference quotient
• graphs (x, f(x)), vertical line test, piecewise, absolute value, greatest
integer, equations, calculator, label axes, window
• intervals of increase, decrease, local maximum, local minimum, average
rate of change
• transformations of functions, vertical shifts, horizontal shifts, reflections,
vertical and horizontal stretching and shrinking, even and odd functions
• extreme values, quadratic, standard form, completing the square,
maximum, minimum values analytically and graphically
• modeling, domains, ranges, pictures, functions
• combining functions, function composition
• inverse functions, one-to-one, horizontal line test, finding inverse
functions, graphing inverse, domains and ranges
Chapter 3. Polynomials
• polynomial functions, end behaviour, zeros, graphs, local extrema, graphs
and expressions
• long division of polynomials, remainder theorem, factor theorem
• applications
• rational functions, horizontal and vertical asymptotes, graphs, limits,
graphs
Chapter 4. Exponential and logarithmic functions
• definitions, graphs, natural exponential and natural log, compound
interest, evaluation analytically and by calculator, properties, common log,
modeling
• laws of logs, expansion, contraction, change of base
• equations, solving
• modeling
Chapter 5,6,7. Trigonometry
• angles, radians, degrees, standard position, arc length, sector area, right
angle trigonometry, 2 special triangles, applications, trigonometric
functions of angles,
SOHCAHTOA, signs of functions, ASTC, reference
angles, standard position, identities, Pythagorus, similar triangles
• unit circle, reference number, trigonometric functions of real numbers,
even and odd trig functions, graphs, periods, transformations
• inverse trigonometric functions, domains and ranges, evaluation,
applications
• trigonometric equations, solutions, algebraic, quadratic, identity use
Thanks Mark.