Chapter 1: Prerequisites for Calculus

Review of Lines:  This includes increments, slopes, parallel and perpendicular lines, equations of lines (point-slope, slope-intercept, general forms), graphing and writing equations for lines.

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Review of Functions:  This includes the definitions of domain, range, relation, functions, boundaries, intervals; finding the domain and range of a function algebraically and from a graph, determining whether a function is odd or even; graphing and writing piecewise-defined functions, absolute value functions, function operations, composition of functions, applying transformations to the graph of a function.

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Reivew of Exponentials:  This includes graphing exponential functions, applying exponent rules, modeling exponential growth and decay, using the natural base (e).

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Review of Parametric Equations:  This includes graphing using parameters, parameterizing equations.

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Review of Logarithmic Functions:  This includes finding function inverses, evaluating logarithms, applying properties of logarithms, change of base in logarithms, solving logarithmic and exponential equations algebraically.  

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Review of trigonometric functions:  This includes:  radian measure, graphing trigonometric functions, modeling using trig functions, inverse trig functions, 

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© Tofer Carlson 2015