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Topics: • Review of Session 8 material: The following three things are equivalent: c is a root of the polynomial f(x) x-c is a factor of f(x) When you divide f(x) by x-c, the remainder is 0. Therefore, finding roots … Continue reading →

The WeBWorK and Warm-Up deadlines from the last class have been extended to Sunday evening 11 PM. I also fixed a bad link to the Warm-Up.

Topics: • Synthetic division (a short way to do long division when dividing by x-c) • Polynomial graphs: see below • Roots, factors, and remainders   Facts about polynomial graphs: • The domain of a polynomial is the whole real … Continue reading →

See the flyer below…   MathSpecialistHelpNYCCTSpring2014

Topics: • More on inverse functions: the “round-trip theorem”: If f and g are one-to-one functions, then they are inverse to each other if and only if both of the following are true: for all x in the domain of … Continue reading →

(after Test 1)   Topics: • One-to-one  functions (also called injective functions) • The horizontal line test for a one-to-one function • Definition of the inverse function • Finding a formula for the inverse of a one-to-one function algebraically   … Continue reading →

Topics: • Composition of functions: Definition 6.5 p. 77. Start here! • Finding the formula of a composite function • Using functions defined by tables • The square root principle (see this post) vs. the definition of square root: what … Continue reading →

Test 1 is scheduled for Monday 24 February, the first 50 minutes or so of class. Please review the course policies: in particular, there are no make-up tests and no extra time for latecomers, so please be early!   I … Continue reading →

Topics: • Basic graphs: the graphs of the following functions are essential to know: Important feature: this graph has an inflection point (the s-curve) at (0,0) Important feature: the domain is only the interval Important feature: the graph approaches the … Continue reading →

Topics: • Careful use of = signs in doing computation of difference quotient (or anything else): more similar usage comments are below. • Using the graphing calculator: see the handouts for topics. In this context we encountered Wheeler’s first moral … Continue reading →