MAT112 Test 1 Topics
- Slope
- Equations of lines
- Notions of lines
- Linear functions
- Properties of functions - domain, range, compositions
- Quadratic functions - vertex, symmetry, roots, parabola
- Translations, reflections of functions
- Families of functions:
- polynomial - peaks, pits, and roots -- wiggly but smooth and nice
- rational - horizontal and vertical asymptotes; domain problems
- exponential - properties
- logarithmic - reflected properties, "undoing" property of the
inverse (like square root and square)
- Example applications:
- fitting a line (model) to data
- fixed and marginal costs
- break-even quantity
- interest (compounded in various ways)
- half-life
- exponential growth problems
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