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Math 11

SLS - Math 11 - Ch 5.4-5.8 Functions - Recognition of types

Type of FunctionDescription
parabolic function "U" shaped, 2 is the highest power of x, a polynomial function (all coefficients are real and all exponents are integers)
linear function line, has a slope and y intercept, y=mx+b, highest power of x is 1, a polynomial function (all coefficients are real and all exponents are integers)
absolute value function lxl, graph looks like a v
rational function (reciprocal, or hyperbolic function) two branches, asymptotes, x on the bottom of a fraction.
radical function square root function, starts at a point, starts steep then gets shallower forever
cubic function sideways "s", highest power of x is 3, a polynomial function (all coefficients are real and all exponents are integers)
quartic function can be W shaped, highest power of x is 4, a polynomial function (all coefficients are real and all exponents are integers)
quintic function highest power of x is 5, a polynomial function (all coefficients are real and all exponents are integers)
constant function y=10, flat line, y is a constant value, it does not vary depending on an x value. A polynomial function where there is no x variable.
vertical line this is not a function. It fails the vert line test. x=5, slope infinity (undefined)
Created by: slscarrie