41. f(3) exists but lim, a f(x) does not. 42. f(-2) exists, lim,-2* f(x) = f(-2), but lim,-2f(x) does not exist. 43. f(4) exists, lim 4ƒ(x) exists, but f is not continuous at x = 4. 44. f(x) is continuous for all x except x = 1, where fhas a nonremov- able discontinuity.

Q: In Exercises 1-4, refer to the function f whose graph is shown in Figure 1. FIGURE 1

A: R4 means right Riemann sum will be larger than the integral if the function is increasing.  The…

Q: Continue the graph of f to the interval [−4, 4] as an even function.

A: In order to get the graph of the even function from the given graph, reflect the graph of function…

Q: Exercises 35 and 36: Use the verbal representation to express the function f symbolically,…

A: 35. Given that for y=f(x) we need to the functoinssymbolically, graphically and numericallyin the…

Q: 2. -4 (a) f(-1) (c) f(0) -3 -1 *** y 1 -1 -2 -3 (b) f(2) (d) f(-2.5) 1 3

A: Given: The graph of fx Find the domain and range of the function fx Domain: The domain is the set of…

Q: Suppose f and g are the piecewise-defined functions defined here. For each combination of functions…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 0. 0 ifx<2 f(x) =: 1 ifx22

A: Hi, thank you for the question. Since you have posted multiple questions, as per the rule we will…

Q: + The graph in Figure 1.26 is a representation of which function? Y 15+ 11 7 3 -2-1 Figure 1.26 O…

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Q: Sketch the graphs of y = f (x) + 2 and y = f (x + 2).

A: For y=f(x)+2 the graph will move 2 units up. Take each vertex 2 units up and then connect them.

Q: 2. The graph of f computes the number of gallons of water in a tank after t minutes. Estimate each…

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Q: (1 point) Determine whether the following functions are power functions. If yes, identify the values…

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Q: Exercises 111-114: Determine the domain and range of function f. Use interval notation. 111. f(x) =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the domain of each function in Exercises 1 4 f(x)=, x2

A: The given function is fx=1x2-4. It is known that square root function is defined only for…

Q: 10. In the diagram below, the conical part's radius and height are seven centimeters and ten…

A: Given: Radius of the  cone =7 cm Height of  the cone =10 cm Diameter of the cylinder=  14 cm  Height…

Q: Exercises 109 Q-112 O: Use the graph of f to sketch a graph of f1. Give a symbolic representation of…

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Q: Section 2 The graph of the function y=f() is given for each of the following describe the…

A:

Q: Given R = {(1, 2), (5, 4), (-1, 3), (5, 6)}: Which statement is TRUE about relation R? A R is a…

A: To determine whether the given relation is function or not

Q: Exercises 79-82: Graph y = f(x) in the viewing rectangle (-4,7,4.7, 1] by [-3.1, 3.1, 1). (a) Use…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: In Exercises 73–78, the graph of f is shownin the figure. Sketch a graph of the derivative of f. To…

A: We sketch the graph of the derivative as,

Q: Exercises 135 and 136: Find f(x) = a(x – h) + k so that f models the data exactly. 135. 2 3 5-1-3-1…

A: Question 135 - Given function f(x) - f(x) = ax-h2+k         .............(1)From tables we have got…

Q: ExerciseS 49 to 64, evaluate each composite functIon vhere f(x) = 2x + 3, g(x) = x² – 5x, and h(x) =…

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Q: 3. Let A = {1,2, 3, 4}. Let F be the set of all functions from A to A. (a) How many pairs (f, 9) €Fx…

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Q: 9. Consider the given piecewise function: a) Evaluate f(-1) b) Evaluate f(1) c) Evaluate f (0) d)…

A: We need to solve function problem.