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

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Type of Function
Description
parabolic function   "U" shaped, 2 is the highest power of x, a polynomial function (all coefficients are real and all exponents are integers)  
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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)  
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absolute value function   lxl, graph looks like a v  
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rational function (reciprocal, or hyperbolic function)   two branches, asymptotes, x on the bottom of a fraction.  
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radical function   square root function, starts at a point, starts steep then gets shallower forever  
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cubic function   sideways "s", highest power of x is 3, a polynomial function (all coefficients are real and all exponents are integers)  
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quartic function   can be W shaped, highest power of x is 4, a polynomial function (all coefficients are real and all exponents are integers)  
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quintic function   highest power of x is 5, a polynomial function (all coefficients are real and all exponents are integers)  
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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.  
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vertical line   this is not a function. It fails the vert line test. x=5, slope infinity (undefined)  
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Created by: slscarrie
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