For each of the following relations, give the domain and range, and indicate which are alsofunctions.     {(7, -1), (3, -1), (7, 4)}

Q: When f(x)→b as x→±∞, y = b is a ________ ________ of the graph of f.

A: Here we have to fill the following blank,  When f(x)→b as x→±∞, y = b is a ________ ________ of the…

Q: If f(x) = −x2 − x − 4, find f(−4), f(0), and f(6)

A: Given that f(x) = −x2 − x − 4 Therefore f(-4) = -(-4)2 - (-4) -4 -> f(-4) = -16 + 4 -4 ->…

Q: In a high school graduation class, (x,y) is in the relation r if person x is the same height as…

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Q: evaluate y' of the given function y= (x-4)/x2

A: Consider the function, y=x-4x2

Q: Complete the table using domain of {-2, -1, 0, 1, 2} for each function shown. f(x) = 3(2)* %3D x -2…

A: Given, fx =32x  x ={-2,-1,0,1,2}   We have to find the value of fx for the given x.

Q: 1. Find the inverse of each relation 1. y = 3x2

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Q: Complete the statements for the functions provided. f(x)=sec x a) as x --> pi/2 negative , f(x)…

A: Consider the provided function f(x) = secx(a)As x tends to pi/2 negative,  f(x) tends to find as…

Q: for -2 x€3 3. Given the relation f: x 4x draw a mapping diagram for the relation

A: Given relation: f:x→4x2 And -2≤x≤3

Q: Find the domain of the following function. y(x)=2In(x-1) Write answer in interval notation

A: We will use interval of existence of logarithmic function

Q: Given the function y=x³+x² – 2x + 1. which of the following statements is true for when x changes…

A: A is true.

Q: Which of the following functions has a vertex of (4,7)? O y = (x + 4)² + 7 O y = (x – 4)² + 7 - O y…

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Q: Use your graph of x2 + y2 = 1 to determine the relation’s domain and range.

A:

Q: STATE THE DOMAIN OF THE FUNCTION f(x), USING INTERUA NOTATION. if X <-4 flx%= (x+5)(x-6l if -4 x cs…

A: Given,            f(x) = 3 - x                    if x &lt; -4(x - 6) (x + 3)(x + 5)x -6       if -4…

Q: Give the domain of each of the following functions in interval notation. 2 r(x) 25 – x2 8 т(«) 36 +…

A: r(x) = -2/(25 - x2) 25 - x2 = 0 x2 = 25 x = ± 5 So, Domain : (-∞,-5) U (-5,5) U (5,∞)

Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

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Q: Suppose that the functions q and r are defined as follows. q (x) = -x-2 r (x) = 2x? Find the…

A: Hi, As per Bartleby rules we are supposed to do only one question at a time.  Kindly repost other…

Q: Use the following graph of y= f(x) to determine whether each of the statements labeled from A to D…

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Q: For each of the following, determine whether the equation defines y as a function of x. 5x = y O…

A: Given,         To determine whether the equation defines y as a function of x.

Q: If (1,5) is a point on the graph of y = f(x), which of the following must be on the graph of y =…

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Q: If f(x)= Vx and g(r)= 2x+5, then state the domain of (go x).

A: Follow the procedure given below.

Q: Consider the following relation. VI - x – 4y = -5 Step 2 of 3: Evaluate the function found in the…

A: We will find the value of y.

Q: 1 y = x2+2 y = Vx2 – 9

A: Given: i. y=1x2+2ii. y=x2-9 To Find: Domain and Range of the following functions.

Q: For each of the following relations, sketch the graph of the relation and its inverse, andwrite an…

A: The given function is y=-2.

Q: f(x) = √x and g(x) = 2x+5, state the domain of (g o f)(x).

A:

Q: Use the following graph of y = f(x) to determine whether each of the statements labeled from A to D…

A:

Q: Complete the following tables, and give the rule for the function y= Ca*. а.) -1 1 2 4 Ca 1/2 32 y=…

A:

Q: Consider the following relation. 3x2 + 4x = - 2x - 2y Step 2 of 3: Evaluate the function found in…

A:

Q: Use translations to graph the given function. b (x) = |x-1| +5 中 6- 5- -9 -8 -7 -6 -5 -3 -2 -1 6 7 8…

A:

Q: Find the natural domain and graph the functions for the following: 1) y = Va? – 36 2) y = -t2

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Q: How many relations are the

A: Given : The set is { 1, 2} .

Q: The set D = {x +4y - 22 0} is the domain of which of the following functions? In (2x? + 8y? - 3) 2.…

A: We have to find domain

Q: Consider the following relation. - 2y + Vi = (x + 1)² Step 2 of 3: Evaluate the function found in…

A: Given that: -2y+x3=(x+1)2

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

A:

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

A: the given function is  take x=-1 and solve for y

Q: Give the domain and range of the relation.

A: The given function is

Q: If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: We have to find f''2 given  f2=10 and f'x=x2fx for all x, We will use following formula of…

Q: Suppose that the functions q and r are defined as follows; q(x)= -x-5 r(x)= 4x-3 Find the…

A: Given functions: qx=-x-5rx=4x-3

Q: 3. Briefly describe the characteristics of the graph of y = f(x) that can be deduced from each of…

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Q: Find the interval in which the following function is positive: 3. -1 1 2 3 6 -1 -2 -3 4)

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Q: 2x+5 g (x) =3x-4

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Q: Draw the following functions: +2 2. + y 1 4.x-r'

A: We have to draw the graph of the given function.

Q: For each of the following, determine whether the equation defines y as a function of x. 6 - 4)*. - x…

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Q: For each of the following relations, sketch the graph of the relation and its inverse, andwrite an…

A: y=x2+2x-3 To find inverse relation, interchange x &amp; y and then solve for y in terms of x. That…

Q: Determine the domain and range for the relation. R = {(x, y)|x E R and y = 2x} %3!

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Q: If f(x) = -x' – x² + 3, find f(-3), f(0), and f(2). %3!

A: Given- fx=-x3-x2+3 To Find- The value of f-3,f0 and f2.

Q: Suppose that the functions q and r are defined as follows. q (x) =x? +9 r (x)= /x+8

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Q: For each of the following, determine whether the equation defines y as a function of x. 3 7x = y O…

A: 7x=y3 y3=7x y=7x3 here we have only one function  so we can write y as a function of x so you need…

Q: For each of the following relations, give the domain and range, and indicate which are…

A: Given that, the relations R = {(5, -2), (3, -2), (-2, -2)} To find the Domain of R  and Range of R.

Q: Find the domain of the following function using interval notation f(x) = X - 6 O A. (-00, 0) O B.…

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