MATH114 Lecture Notes - Lecture 2: Even And Odd Functions, Trigonometric Functions, Quadratic Function

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: Alsaody,Seidon

Document Summary

Math 114 lecture 2 properties and examples of functions. Answer: no! (cid:1877)(cid:2870)=(cid:1876) y = (cid:1876) (the vertical red line shows that two different values are assigned to the same number in the x axis, therefore it is not). A function is called even if f(-x) = f(x) for all x in the domain. http://www2. bc. cc. ca. us/resperic/math6a/lectures/ch1/1/evenodd/evenodd. htm. A function is called odd if g(-x) = - g(x) for all x in the domain. https://www. advancedhighermaths. co. uk/odd-even-functions/ Answer: since f(-x) = (- x)2 = x2 = f(x) the function is even! Answer: since f(-x) = (-x)3 = - x3 = - f(x) the function is odd. Answer: checking if it is even f(-x) = -2x + 1 f(x) = 2x + 1 therefore not even. Checking if it is odd f(-x) = -2x + 1 - f(x) = - 2x - 1 therefore not odd. Note: an odd function must satisfy the condition f (0) = 0.