MATH 112 Lecture Notes - Lecture 18: Inverse Function, Linear Function, Negative Number

• School: University of Arizona
• Department: Mathematics Main
• Course: MATH 112
• Professor: Joseph Arreguin

Document Summary

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. 16 this is not a polynomial, but a rational function. When the bottom is zero, it is undefined. 2 so we need to take out the values that make the denominator equal to zero. 2 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. x3 is much smaller compared to x7. so we can ignore x3. and the result is big. When we plug in a very small number. 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.