- whether the following relation is a functio- x² – 2x + 1

Q: Find the solution to this recursive relation an = an-1+3, a0=1

A: To Find the solution to this recursive relation an = an-1+3, a0=1

Q: Select all the relations that represent a function. O (1.3) (2. 5) (2. 7) (4. 9) 000) (2 5). (3. 7)…

A: Given To verify the given relations represent a function or not.

Q: If f1(x) and f2(x) are functions from the set of positive integers to the set of positive real…

A:

Q: (a) Show that the following sentence ¬Vz(3yR(x,y) = R(x, f(x, x)) is satisfiable where f is a…

A: a)

Q: Consider the following relation. −3x+5y=−2x−5y Step 2 of 3 : Evaluate the function found in the…

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Q: The domain of f(x) = Vx² – 3 is {x:xs-V3 or x2 V3} True O False

A:

Q: 21 - 2 for f(x) = for 3D Find f(-1)

A:

Q: Find the solution to this recursive relation  an=2nan-1, a0=3

A: Given that  an=2nan-1, a0=3 To find the solution of this recursive relation

Q: The domain of f/g consists of numbers x for which g(x) __________  0 that are in the domains of both…

A: we have to fill the following blanks ;  The domain of f/g consists of numbers x for which g(x)…

Q: Find the following funtion f(x)=3x^2+2x-2 F(5)

A: The given function is f(x) = 3x2+2x–2 .

Q: 16. A is the “absolute value" relation on R: For all real numbers x and y, x A y → |x| = |y].

A:

Q: 18. What can you deduce about the sets X and Y if you know, a. there is an injective function f: X…

A: Given that two sets X and Y.a)There is an injective function

Q: Below is the function f(x). 5 4- 46 -5 -4 -3 -1 -1 2 3 4 5 -2 -3 -4 -6 -7+ Over which interval of x…

A: The graph of the function is given by

Q: do you agree with the contention that the funtion f(x) = x + 2 and g(x) = x² − 4/ x -2 are the same.

A: Given f(x) = x + 2g(x) = x2-4x-2

Q: Consider the recursive relation 9xt Xt+1 = C 1+ xt

A: Given, the recursive relation                                          xt+1=c9xt1+xtwhere  c>0 is…

Q: Every function is a relation of its domain and codomain. O True. O False.

A: A relation defined between two sets X and Y contains ordered pair a,b such that  a∈X ,  b∈Y. It…

Q: - Let f(x) = -1+x + 2x² – 2x³ – x* + x5. Which of the following statements is true?

A:

Q: . Show that the function f: R→ R defined as f(x) = 13x − 15 is one-to-one.

A:

Q: below. -2 -1 1 2. Intermediate Value Theorem, identify intervals of consecutive integ ave a real…

A: Please refer to the image below

Q: The domain of a relation R is the set of real numbers. x is related to y under relation R if…

A: We will find out the required solution.

Q: 2 is the graph of f(x) = -2/3 x – 3. -6 -5 -4 -3 -2 -10 1 2 3456 -2 -3 -4 -5 O False True

A:

Q: Use the given graph of the function f(x) to complete the statement. 4. 3- -3 -2 -1 3. -11 2 -1 - 00…

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Q: The domain of f(x) =vx² – 3 is {x:x s-V3 or x 2 v3} %3D True O False

A:

Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

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Q: (b) Use the definition in (a) to compute f'(2) for the function f(x)

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Q: 11. What property must f(x) have in order for f'(x) to exist?

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Q: Determine the domain and range of the following relations. 1. y²(x²-9)=1 2. x²+xy=8 3. x²-4y²+16=0…

A: Domain and range of functions

Q: Find the characteristic equation of the recursive relation an 송,Mn 2 1. O 3r – 1=0 Or+3=0 Or-3= 0…

A:

Q: Find the following funtion f(x)=3x^2+2x-2 f(x+h)

A: The given function is  f(x) = 3x2 + 2x -2.

Q: If f(x) =x²-x over x-1 and g(x) =x is it true that f=g?

A:

Q: 2 - Given that f(x) = (x)6 pue 2x + 1 find (gof)(x) and determine the domain of (go f)(x).

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Q: Write the domain of the relation y = arccsc x. x≤-1 or x≥1 -1≤x≤1 0≤x≤1

A:

Q: what is the range of h if the domain of h is a set of negative integers?

A: Given: h(x)=[x]+2

Q: The domain of f(x) = Vx2 – 3 is {x:x s-V3 or x2 V3} | True False O O

A:

Q: 6. 10 11 12 13 Find the domain and range of the relation. Use interval notation where appropriate.…

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Q: Suppose f : N → N is an injective function on the natural numbers which, considered as a relation,…

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Q: The domain of a relation R is the set of real numbers. x is related to y under relation R if…

A:

Q: Let f(x) = x² and g(x) = x – 3. Evaluate the expressic (X)(6 . A)

A: Composition of two functions:            Composition of a function is done by substituting one…

Q: 11. ( a) b) ) Consider the relation on A Determine if the relation is refl Determine if the relation…

A:

Q: Let (x, Y, z) = In (z - vx² + y? ). (a) Evaluate f(3, -4, 8). In(s - V3? + (-4)² ) (b) Find the…

A: we know domain of ln(x) is set all x for which x>0.

Q: For all x in the domain of the function –* , x+1 this func- tion is equivalent to:

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find the open intervals on which f(x) = x3 − 3/2x2 is increasing or decreasing

A: Find the open intervals on which f(x) = x3 − 3/2x2 is increasing or decreasing

Q: (c) The domain of the relation Z is the set of all real numbers. xZy if y = 2x

A: The relation Z is the set of all real numbers. xZy if y=2x. Z=x,y|y=2x (a)The relation R on set A is…

Q: - g(x) = \x – 9 – x, evaluate at x = 10, 9, 11, and 12 %3D

A: Given g(x)=√(x-9) - x  And we have to evaluate g(x) at x=10,9,11,12

Q: The points defined by the relation x2 - y2 = 1 are symmetric across which of the following? Select…

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Q: Do you agree with the contention that the funtions f(x) = x + 2 and g(x) = x2 -  4 ÷ x - 2 are the…

A:

Q: 7. Determine whether the funcion is even, odd, or neither: f(x) = 1+x2

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Q: Represent graphically the set of values of z for which 3 < 2 2 + 3

A: According to the given information, it is required to represent the given function graphically.

Q: Using this recursion relation xP;'(x) – P';-1(x) = lP;(x), show that 26im LP;(x)Pm(x)dx = 21+1

A: Solution:

Q: 3. Prove that the function f: R – {3} → R - {1} defined by f(x) = , is one-to-one correspondence.

A: