math14.exam_1.reviewsheet

math14.exam_1.reviewsheet - Calc I Test 1 Things to...

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Calc I Test 1 Things to Know -Functions (1.1, 1.2) --Know how to express a function the four different ways Verbally (by a description of words) Numerically (by a table of values) Visually (by a graph) Algebraically (by an explicit formula) --Know how to create an equation/graph from a “word” or “table” function --Know how to classify a function as a polynomial, rational, root. Power, algebraic, trig, exponential, log, or piecewise function --Know what even and odd functions are Even: f(-x) = f(x), ex. F(x) = x^2 Odd: f(-x) = -f(x),ex. F(x) = x^3 --Know how to graph any of the above type functions (and know how to use symmetry, and odd/even characteristics to assist graphing) --Know how to find the domain and range of a function (and how to correctly express these) Limits and Rates of Change (2.1, 2.2, 2.3, 2.5, 2.6) --Understand how determination of instantaneous velocity and the slope of a curve’s tangent line leads to the need for the concept and definition of a “limit”
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