1. Determine if cach relation is a function. b)

Q: What is the domain of the function f(x) = arccos(x), written in set notation? Choose from the c…

A: For a given function, domain is the value which could be given as input in the function.

Q: Let X be the graph of f(x) = given below tor

A: Sol

Q: Suppose that the functions of f and g are defined as follows. Find f•g and f+g then give their…

A:

Q: For Exercise, a relation in x and y is given. Determine if the relation defines y as a one-to-one…

A: A relation f is one -to -one , if no two elements in domain of f corresponds to the same element in…

Q: Prove that if the function f is 1-1, then ƒ-1 is a function.

A:

Q: 4. Let the relation M defined as M= a. Write the domain and range of M. b. Is Ma function? c. Draw a…

A: The relation M defined as M=x,y | y=x2-49

Q: 2) Given the following information about a function f, sketch a possible graph of the function:…

A:

Q: 9-Determine whether the relation represents Y as a function of X. If so, list it’s domain and range

A: Given:-          Graph is given: To Calculate:- Whether the relation represent Y as a function…

Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

A:

Q: Determine the domain on which the following graph of f (x) is positive. 10 8. 7. 4. 3 1 -10 -9 -8 -7…

A: From the given graph of a quadratic polynomial, the roots are x=-1 & x=3 Hence f(x)=k(x+1)(x-3),…

Q: Determine the one-sided limits of the function f in Figure 16, at the pointsc = 1, 3, 5, 6. 5. 4 1…

A: From graph given here, Left hand limit at c=1 is equal to 3 Right hand limit at c=1 is also equal to…

Q: function is defined as c*x^1 from 1 to 5 and 0 otherwise. What is c?

A:

Q: Determine if each of the following relations is a functions with domain A={1,2,3,4} and codomain B…

A:

Q: Suppose that the functions f and g are defined as follows

A: Given functions:

Q: Prove that every function is relation but converse is not true, given the answer to supports your…

A: A function is a relation that has one and only one unique element on the range for each element in…

Q: Determine which of the points in the following list lie in the domain of the function f(x, y) =…

A: Let's find.

Q: IF A = { 1,1,2,3,5} B = {2,4} A relation S from A to B such that (x, y) ∈ S means that x ≤ 3 and y…

A:

Q: 6. Consider these functions from the set of students in a discrete mathematics class. Under what…

A: (a) The students from the set of student if it is assigned to his/ her mobile number is one to one…

Q: A function  f is defined by f(x) = { 1-x     , if x<=1            x^2    , if x>1 Evaluate…

A: The given function is fx=1-xif x≤1x2otherwise.   Note that 0 and 1 satisfies the condition x≤1.…

Q: Consider the following relation. VT -x- 6y = 5 Step 1 of 3: Rewrite the relation as a function of x.

A:

Q: Explain, using Theorem 4, 5, 7 and 9, why the function is continuous at every number in its domain.…

A:

Q: Determine the one-sided limits of the function f in Figure , at the points c = 1, 3, 5, 6.

A: Limit of a function at a point exists if both left-handed and right-handed limits exist and are…

Q: How do you show the image of the intersecction of S and T is a subset of the intersection of the…

A: Let function f from A into B. Let S and T are subset of A. To show that fA∩B⊂fA∩fB. Let y∈fA∩B. To…

Q: Use the vertical line test to select all graphs showing relations that are functions. 0 -5 -4 -3 -2…

A:

Q: Suppose that the function fis defined as follows. f(x) = - 1 0 1 2 3 Graph the function f. if -2.5 <…

A: Here we have to graph the function.

Q: Let Q: A - B be a function and CSA. define the restriction and also the extension of a function

A: Restriction and extension of a function

Q: 1. State whether or not each diagram in the figure below defines a function from A = {a, b, c} into…

A:

Q: Define H(x) as a piecewise defined function and evaluate H(1), H(2), H(3), H(0) and H(-2) given by,…

A: We have to solve the problem by just putting the value in the piecewise function.

Q: 6 Whether y dhefines shesines has y as a function of x. no xintercept to

A:

Q: Suppose that the function fis defined, for all real numbers, as follows. 4 if x 0 f(x)D -1 if x=0…

A:

Q: Suppose that f (x), g(x), and h(x) are functions such that f (x) is Θ(g(x)) and g(x) is Θ(h(x)).…

A:

Q: Determine whether  the following statement is true or false, and explain why. A critical number c is…

A: Solution:GivenA critical number c is a number in the domain of a function ƒ for which ƒ′(c) = 0 or…

Q: Suppose that the function fis defined as follows. -3 if -3.5<xS-2.5 -2 if -2.5<xS-1.5 f(x)={-1 if…

A: Below is the graph of function f(x)  plotted

Q: Show that the GHASH function calculates (X1 • H™) Ð (X, · H"-1) © O (Xm-1° H²) O (Xm· H) ...

A:

Q: Consider the function f(x) whose graph is given below. y= f(x) in Enumerate all discontinuities of…

A: Here f(x) is not defined but at x=-2, x=3, x=5 .

Q: Prove or disprove. The function f(2) = 2z – 3 – ze? + e=% is not entire.

A:

Q: 1. Write a function of x, f(x), such that the following graph represents y=f(x).

A: Here we need to find a function for given graph in the question. According to the definition of…

Q: Determine whether the correspondence is a function. Domain Range e W y AY

A: Given,           The relation is shown below :           We know that,            A relation is a…

Q: g are the functions whose graphs are shown, let u(x)

A: The given function is, v(x)=f(x)g(x) Then, by the quotient rule the value of v'(5) is,…

Q: How do you show the image of the union of S and T is equal to the union of the image of S and the…

A:

Q: 18. Use the vertical line test to determine if y is a function of x in the graph. Which of the…

A: The given problem is to check the given figure is the function of x or not using the vertical lines…

Q: Consider these functions from the set of students in a discrete mathematics class. Under what…

A:

Q: 1) Determine if the relation defines y as a one-to-one function of x. 23 zh-3+h 42 У 4 x + 39 +32 TH…

A: The relation in the given graph is,

Q: Suppose, we want to define functions from set Ato set B Given that, |B| = n= 20 > 15 = m =HAN many…

A:

Q: the letters in the word COMPUTER be arranged if the

A:

Q: 2.) Sketch a single graph of a function f which satisfies all of the following sign charts for f,…

A:

Q: Let F be a "function" defined on the class

A:

Q: sketch a araph of a function f that satisfies the civen values. if lo メう-3 um if ex) does not exist…

A: The function f that satisfies,f(-2)=0f(2)=0limx→-2f(x)=0limx→2f(x) does not exits.

Q: If X = {-2,-1 ,0 ,1,2} and Y = {4 ,2 ,, } and R is a relation from X to Y where "a R b" means "b 2"…

A:

Q: 1. Classify each of the following relations as a function or not a function:

A: NOTE: Refresh your page if you can't see any equations. . if the vertical line intersects the graph…