The following shows graphs of three functions, A (in black), B (in blue), and C (in green). If these are the graphs of three functions f, f' , and f'' , identify which is which.

Q: What value should be assigned to a to make the function S(x) = (x²-1, x<3 (2ax, x 23 Continues at…

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Q: Question # 1 Consider the following graphs of f and g:

A: we have to calculate the limit limx→2+[3f(x)-g(x)] which can be written as…

Q: draw the graphs of each of the piecewise-defined functions.

A: First of all, consider the given piecewise-defined function.

Q: If f and g are both even functions, is f + g necessarily even? If both are odd, is their sum…

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Q: Consider the following function. (If an answer does not exist, enter DNE.) h(x) = (x + 1)7 − 7x − 3…

A: The given function is  h(x)= (x+1)7-7x-3. To find the interval where h(x) is increasing and…

Q: 6) Find f'(-2) for each of the following functions.

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Q: An environmental scientist found that the number of gallons of a pollutant in a lake is growing…

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Q: Graph the following functions. a) f(x)=-x| c) f(x)=-x+ 21 b) f(x)= -\xl d) f(x)= -\x+ 2| 1) Compare…

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Q: Find an expression for the function f(æ) whose graph is a line passing through the points (2, 3) and…

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Q: Find the value of k that makes the following function continuous. Graph the function. x2- k, if x…

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Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: /Discuss the behavior of the following function as x 0: o,

A: Here, the given function is: f(x)=0,x≥0sin1x,x&gt;0

Q: In order to sketch the graph of f'(x), we must have a formula for f(x).

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Q: Sketch the graphs of the following function y = 9/x + x + 1

A: Given: The function y=9x+x+1

Q: is there an easy way to determine what function, on a graph is f, f' , and f''

A: I have given an answer in step 2.

Q: Use the given graph of the function on the interval (0, 8] to answer the following questions.

A: Introduction: If f(x) ≤f(c) for all x ∈D, the function f defined on the domain D has a global…

Q: Compare the graphs of the functions. Y, = In and Y, = In x – In 2

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Q: Consider the following function. 3x f(x) = 14 csc *), (0, 27) Find f'(x). f'(x) = Find f"(x). f"(x)…

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Q: Suppose you're given the following table of values for the function f(x), and you're told that the…

A: To Check: Which option is correct. Given: The values are f-2=5, f-0.35=-3, f0=2, f0.53=2 and f1=-5.…

Q: 2x+l f lx) =

A: f(x)=2x+1x

Q: Select all of the following graphs which are one-to-one functions. 43 2 5 4 3 2/1 12 -5+ 4 3 1 2 -5+…

A: A function f is 1 -to- 1 if no two elements in the domain of f correspond to the same element in the…

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x&gt;4

Q: 5. Graph the following function: f(x) = Vx - 2 6. Graph the following function:f(x) = 3|x-1||

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Q: Suppose that V(x) represents the number of violent crimes committed in year x and P(x) represents…

A: Given  V(x) represents the number of violent crimes committed in year x  P(x) represents the number…

Q: The following two graphs represent the graph of a function and its inverse, respectively: 3- -2 -1…

A: To show that, in the given two graph, second is inverse of first, we must show that any point on…

Q: Find the period of the function whose graph is shown below. f(x) 6 4 2- 2 4 68 2+ 9- 8- -4 -6-

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Q: Select all of the following graphs which represent y as a function of z. -3 4 -3 -2 -2 -2-

A: here option a ,c and d are true

Q: Let f and g be functions, If the graph of g is obtained from the graph of f by translating the graph…

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Q: Here are graphs of three functions f, g, and h given by f(x) = (x − 1)², g(x) = 2(x − 1)² and h(x) =…

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Q: Investigate the given function and graph it accurately. 1. y = x²-x+1 x-1 2. y = In - -1 x+5

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

A: Consider the given relation: 1-x+y=-2 Square both the sides 1-x+y2=-221-x+y=4 Subtract 1 from both…

Q: Which of the following graphs represents the function below? (5, x 4 -2 <x<4

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Q: To the right, you are given graphs of the functions f and g. Consider the functions u(x) = f(x)g(x)…

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Q: Graph the following function over the indicated interval. y = −5+ e ¹+x; [-5,2]

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Q: Which of the following describes the end behavior of the graph of the function f (æ) = –3x4? As x →…

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Q: Select all of the following graphs which represent y as a function of æ. -5 4 3 -2 -2 -3 -4 -3 -2- 3…

A: Use the vertical line test to determine if the graph represents a function. Look at the graph to…

Q: Which of the following describes the end behavior of the graph of the function f (x) = 2x³? As x →…

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Q: Plot the graphs of the following functions on the specified interval:  a) f(x) = x2 + 3 x - 1 on…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider the following function. 4 if x - 3 Step 2 of 3: Identify the general shape and direction…

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Q: Select all of the following graphs which are one-to-one functions. 3- D 0 O eie 2 1 --5-4-3-2-1 -1…

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Q: 2. Determine which of the graphs below are functions from R into R. (a) (b) (c)

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Q: Select all of the following graphs which are one-to-one functions. -5 -1 -3 -3 4 3 -1. -2 -3 -5 -4…

A: Given, the follwing graphs and we need to determine whether its a one-to-one function or not.

Q: The following shows graphs of three functions, A (in black), B (in blue), and C (in green). If these…

A: solution is given below.

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

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Q: 9. Graph the following: f(x) 2 - (r – 3)(x + 1)

A: Given- fx≥-x-3x+1 To draw- The graph of the above ineuality.

Q: 9. Graph each of the following functions. :- 1 for x 1 2, for x = 5 (ii) ƒ (x) = {x²–25 for x + 5…

A: To draw the graph of piece wise function

Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…

Q: Show if the following functions are even, odd, or neither. You must put in value that you chose to…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.