Give examples of functions f and g such that f and g do not have limits at a point c, but such that both f+g and fg have limits at c.

Q: Give the domain of the function. Зх — 2 - z = O {(x, y): x and y are real and y + 3x - 2} - {(x, y):…

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Q: x + 1 (b) Let f(x) = and g(x) = x²+1. x + 2' ii. Determine if f and g are one to one or onto. iii.…

A: According to question given that f(x)=x+1x+2, g(x)=x2+1

Q: Create the different representations of a piecewise function according to the conditions. A…

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Q: Let A = {1,2,3}, Define the functions f: A → C and g: B → C by f(1) = 7, f(2) = 9, f(3) = 7, g(4) =…

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Q: How do we identify if the limit of a function exists or not?

A: Limit, depends on the possibility of closeness, utilized principally to allocate qualities to…

Q: Let f (x) = (x – 4)²/3_ Find the intervals on which f is increasing and decreasing.

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Q: Draw a function f that has the following characteris- tics, then write the zeroes of the function…

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Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

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Q: Let A = {1,2,3}, B B = = Define the functions f: AC and g: B → C by f(1) = 7, f(2)= 9, f(3) = 7,…

A: We want g o h = f.     So, we want g o h(1) = f(1) = 7            and g o h(3) = f(3) = 7   Now,…

Q: Find the set of points in space where each function is discontinuous. Be sure you can explicitly…

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Q: Determine whether the statement "Between any two relative minima of f, there must be at least one…

A: Determine whether the statement "Between any two relative minima of f, there must be at least one…

Q: Using the function f: (-1,2] R, f(x) = 4x³ - 3x2 – 6x +2, a. Determine all the stationary points…

A: Given: f: (-1,2]→ f(x)=4x3-3x2-6x+2 To determine all the stationary point of this function in the…

Q: let f(x) = 2(x + 3)x² + x – 2 Find the absolute maximum value of "f"over [-2,1]. O a. -10 O b. -29…

A: Answer

Q: Give an example that: the absolute maximum is not a local minimum.

A: Consider an example of the function:  in a interval [-2,3]

Q: A relation consists of all the points in the x-y plane that are either on the line y=1 or the line…

A: Here, the objective is to determine if equation represent a function.

Q: gra designs. these designs can be defined by mathematical functions. a) Plot the graphic design…

A: The graphing design made from a combination of different functions with different domains can be…

Q: What do you think why certain limit of a function does not exist? What are the conditions to…

A: we know that limit is exist when we approach to at that certain point on graph, from left and right…

Q: could you perhaps elaborate more on transitivity, I can find the relation but I dont know if its…

A: Step 1: Verify reflective and symmetricGiven that   be a relation on the set Reflexive:  For every…

Q: There are 3 conditions that make a function continuous at a point.  Name the three conditions Give…

A: Definition: A function is said to be continuous at x = a provided all three of the following are…

Q: Suppose that f(r) is a function with f(4) 4 and f(8) 4. Determine which choice best describes the…

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Q: Define Function spaces.

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Q: 2. State the domain and range of f(x) ==Vx +2 5 D:[-2,0) D:[-2.) В. D:(-0,00) C. D:[0,0) D. R:(-0,0)…

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Q: A TUN f: {1,2,3,4} is defined by f(1) = 6, ƒ(2) = 7, f(3) = 8, Drag the answers into the right place…

A: Given function is f:1, 2, 3, 4 → 5, 6, 7, 8 defined by f(1) = 6, f(2) = 7, f(3) = 8, f(4) = 6

Q: O Determine the maximum and minumum value of the function f(x1, x2)=x1x2 in the set ((x1, x2);…

A: We need to determine the maximum and minimum value of the function f(x1,x2)=x1·x2 in the set…

Q: The graph of the functions f (x) and g(x) y. ↑ a c are provided fox) x+ b gox)

A: The given graph

Q: Give an example that: the f has an absolute minimum but not a local minimum.

A: Consider the function: in an interval [-1,2]