Let f [0, 1] → [0, 1] be continuous. Show that there exists an element x = [0, 1] such that f(x) = x, i.e. ƒ has a fixed point in [0, 1]. Is this true if X is either [0, 1) or (0, 1)?

Q: A new bagel store opened. The first day 15 customers entered the store. The number of customers that…

A: on day 1 customers are 15 customers we can say that  f(1)=15; on day two customers triples, so…

Q: State the domain and range of each function a) b) c) 3₂ f(x) 44 3+ 2 1+ 1+ 2 3 1

A: Domain : Domain of a function are those x-values for which the function is defined.Range : Range of…

Q: Find the domain of the function ∑ akzk

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Q: -> 4 5 x -5 4 2 3. -1+ -2+ -3+ -4+ -5+ -8+

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Q: Function B

A: From given graph it is clear that

Q: calculate the main value of this function  32-2j

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Q: Let f (x) = + 6 . Evaluate f(-6). 2 (2 f(-6) = Number || 1/2

A: Given f(x)=-1212x+6   To Evaluate f(-6)=

Q: Use the piecewise defined function. Find the following.  fx= 5-4× if x is less than or greater than…

A:

Q: Find a → evaluation for the function (4n+1) 8¹ogn

A: Solution: f(n) = (4n + 1)8log n        = (4n + 1) (23)log n              [here , we assume base of…

Q: 0-64 N

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Q: Find the domain of the following Function- no simplifying.

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Q: | Rewrite using function notation. Use function name f 4) n = 3t – 1

A: Given ,    n=3t-1 We have to write it using function notation.

Q: Which kind of function is called the greatest integer function?

A: f(x)= [x] is called the greatest integer function.  We have to take the greatest integer less than…

Q: A library has 50,000 books and is adding 500 books every year. Write a function f(x) for the number…

A: Initial books = 50000 Let x represents the number of years after initial year, x = 1 represents…