In this activity students are asked to decide whether functions are odd or even or have some other kind of symmetry. As well as working with the graphs and
ACTIVITY OVERVIEW: Match the 8 function cards to the corresponding equation card limit card
However of these two answers
Sep 22 2017 1.1.2 Algebraic Representations of Functions . ... 1.1.5 Answers . ... {(x
Distinguish between odd and even functions as in problems 2-125 2-126
relative minimum at (?2 1)
Aug 2 2010 Ideally
to answers to make it fact “extensions”. How to Play: Pick a way to sort the cards ... even numbers odd numbers
end students check their answers and the most correct receives a prize! is for students to discover the characteristics of odd and even functions.
Jul 26 2019 Provide students with six cards to sort
Nov 7 2013 · Even and Odd Functions If the graph of a function f is symmetric with respect to the y-axis we say that it is an even function That is for each x in the domain of f fx fx(! If the graph of a function f is symmetric with respect to the origin we say that it is an odd function
Even and Odd Functions Function can be classified as Even Odd or Neither This classification can be determined graphically or algebraically Graphical Interpretation - Even Functions: Have a graph that is symmetric with respect to the Y-Axis Y-Axis – acts like a mirror Odd Functions:
Activity 3: Characteristics of Odd and Even functions Homework For each of the following functions classify each as: even odd or neither You must show your work to prove your classification If you are experiencing difficulty contact your teacher 1 Show a proof algebraically f(x)=x ?2x 5b) f(x)=3x?4x c) f(x)= 2+5 xd) f ( x)= 2
Even and Odd Functions Learning Targets: Recognize even and Odd functions given an equation or graph Distinguish between even and odd functions and even-degree and odd-degree functions SUGGESTED LEARNING STRATEGIES: Paraphrasing Marking the Text Create Representations The graphs of some polynomial functions have special attributes that are
Part 1: Odd or Even functions SOLUTIONS a) If a function is even then f(-x) = f(x) The function is symmetrical about the y-axis b) If a function is odd then f(-x) = -f(x) The function is symmetrical about the origin c) If a function is neither odd nor even then f(-x) ? f(x) and f(-x) ? –f(x)
Even and Odd Functions If a periodic function f (t) is an even function we have already used the fact that its Fourier series will involve only cosines Likewise the Fourier series of an odd function will contain only sines Here we will give short proofs of these statements Even and odd functions De?nition