MATH 112 Lecture Notes - Lecture 18: Negative Number, Exponentiation, Quadratic Function
11 Nov 2017
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We have studied linear function, inverse function, quadratic function, polynomial function. Is 4x3+2x2+x+16 a polynomial? yes, because of integer exponential. We can not have fraction power like x1/2, this is a root function. It is also a polynomial. this is not a polynomial, but a rational function. When the bottom is zero, it is undefined. 2x2-11=0,we get x=. so we need to take out the values that make the denominator equal to zero. The domain of f(x) is this is the only two bad numbers that make the denominator equal to zero. That is how do i find the domain. Plug in a big number like 1000. x 3 is much smaller compared to x7. so we can ignore x3. and the result is big. When we plug in a very small number. Case 1: if the degree of the numerator is greater than the degree of the denominator. When x goes to infinity, f(x) also got to infinity.
