QuestionQuestion

Transcribed TextTranscribed Text

1. Show that if f R - R is continuous and has a 2-cycle (a,b}, then f has fixed point. 2. A map f : [1.7] [1,7] is defined so that f(1) = 4. f(2) = 7./(3) = 6,5(4) = 5. f(5) = 3. (f(6) = 2.f(7) = 1, and the corresponding points are joined so the map is piecewise linear. Show that f has a 7-cycle but no 5-cycle. 3. If Fa(x) = 1 - to for I € R, show i) Fx has fixed points for A -1/4. ii) Fx has a 2-cycle for l 3/4. iii) The 2-cycle is attracting for 3/45. If F(x) - i) That F(x) has no points of period 1. ii) Find the points of period 2. iii) Graph this function to see that there are points of period 3. iv) Does this contradict Sharkovsky's Theorem?

Solution PreviewSolution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Function Proofs
    $15.00 for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Geometry Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats