Function & Graph Analysis: Plotting, Relations, Inverses, Compositions, Lines, Transformat, Study notes of Mathematics

Download Function & Graph Analysis: Plotting, Relations, Inverses, Compositions, Lines, Transformat and more Study notes Mathematics in PDF only on Docsity! • Plot points • Determine if relations are functions (numerical and graphical) • Give domains and ranges of relations (from numerical and graphical) • Find the inverse of a function given a formula, table, or graph • Find compositions of functions (algebraically) • Evaluate compositions of functions using tables and/or graphs • Draw graphs to match stories or make stories to match graphs • Find equations of lines given points (write the equations in point-slope and slope-intercept forms) • Determine if lines are parallel • Determine if lines are perpendicular • Find equations of lines that are parallel or perpendicular • Graph transformations of y = x2, y = |x|, y = x3, and y = √, listing the transformations • Write formulas for transformations of functions • make scatter plots • find linear regressions with TI-calculator • Use regressions to find input or output • Graph piecewise functions • Find equations for arithmetic (linear) and geometric (exponential) data • Answer questions about the graphs of exponential functions y = abx: Know that b > 1
growth & the larger b is the faster it grows 0<b<1
decay & the smaller b is (closer to zero) the faster it decays a is the y-intercept