Math 106 Final Exam question n answers graded A+

Math 106 Final Exam Domain - correct answer Inputs, independent variable x-values Range - correct answer Output, dependent variable y-values Function - correct answer A relationship such that each element in the domain corresponds to exactly one element in the range Example of a function: Is the length of a song in seconds a function of the price of the song? - correct answer No, Independent: Length Dependent: Price Function Notation - correct answer f(x) "f" is the function name (x) is the independent variable Difference Quotient - correct answer f(x+h)-f(x)/h Natural Domain - correct answer The set of real numbers that output real numbered solutions to the function Restrictions on domain - correct answer Even roots: radicand ≥ 0 Rational functions: denominator ≠0 Every other function has a domain of all real numbers Vertical line test - correct answer If any vertical line intersects the graph at more than one point, the graph is not a function Y-axis symmetry - correct answer If for every point (x,y) on the graph, the point (-x,y) is also on the graph X-axis symmetry (never a function) - correct answer If for every point (x,y) on the graph, the point (x,-y) is also on the graph Origin Symmetry - correct answer If for every point (x,y) on the graph, there is (-x,-y) also on the graph Even function - correct answer symmetric about y-axis f(-x)=f(x) Odd function - correct answer symmetric about the origin f(-x)=-f(x) Linear functions - correct answer any function f that can be written in the form: f(x)=mx+b Constant functions - correct answer f(x)=b (horizontal line) Slope - correct answer The rate of change m=rise/run y1-y2/x1-x2 Point-slope equation - correct answer y-y1=m(x-x1)