4. if x < -3 k(x) %3D VI if x > -3 8 Step 1 of 3: Identify the general shape and direction of the graph of this function on the interval (-o, -3).

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A: Since there are multiple questions posted, we will answer the first question 13. Ir you want the…

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Q: On 1 May 2021, 3,000 people were vaccinated and on 31 May 2021, 45,000 people were vaccinated. (n)…

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A: Consider the functions  f(x)=exh(x)=14ex+3−4

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A: (a).    The given function is: f(x)=4x-5

Q: Graph the following function over the indicated interval.   y=−4+e^1+x​ ;​ [−4​,2​]

A:

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: a. What are the net total savings during the first year of use of the​ machine? b. What are the net…

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Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

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Q: 1)Express the following graphs in terms of unit step functions a) y = f1(t) 1 b) 1 y = f2(t) 3

A: To express the given graph in terms of unit step function.

Q: Q4: A) Car A is travelling west at 60 km/h and car B is travelling north at 1150 m/min. Both are…

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Q: Find the net change in the value of the function between the given inputs. g(t) = 1 - t2; from -2 to…

A: gt=1-t2 Now, g-2=1--22=-3 &amp; g5=1-52=-24

Q: 4. Determine the value of the constant k so that f(x) = e* (x + k) decreases on the intervals (- 0,…

A: we have to find value of k

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

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Q: 5. The function is decreasing everywhere and changes from concave up to concave down at x = -1 and…

A: The graph of the function. We have to check whether the given statement is correct or not.

Q: 1. Match the equation of the following functions to the appropriate graph. Justify your answer. . ..…

A: The given function is, i) f(x)=22(x-3)+2ii) h(x)=-122x+2-2iii) g(x)=12-x+1-2iv) k(x)=-2x-3+2

Q: Based on data for the years 1910-2007, the expected life span of people in Country A can be…

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Q: 4. Using the same graph of the function in Problem 1, how can you obtain the graphs of the following…

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Q: 1. The minimum point on the graph of the equation y = f(x) is (2, – 1). If f(x) is shifted 3 units…

A: Given that y=f(x)minimum point on the graph is (2, -1)

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

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Q: 6. find all local extremum value in this function f(x)= xʻe* م م م م و و ه و و و و و و ه و و و و و و…

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Q: 1/2 1/2 Find the formula for the graph of the function /(x)given in the graph above. S0x) = 7-5cosx…

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Q: 3) Consider the function f(x) = 2r3+3a² – 7 (the same function as in problem 2). %3D a) Find the…

A: Here we have to check the concavity and points of inflection.

Q: The function graphed to the right is of the form y= c+ cos x, y= c+ sin x, y= cos (x-d) or y = sin…

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Q: Consider the graph of the function given in the image: Knowing that L {x (t)} = X (s). Find X (s)…

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Q: 1/3 1/3 Find the formula for the graph of the function f(x)given in the graph above. f(x) =

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Q: If f(x) = x - ka 1 has a relative maximum at r = -2, then the value of k is

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Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: 1 If a parent function x) = is compressed horizontally by a factor of 5, what would be the equation…

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Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: 13) Identify the function for the graph at right. a) S(x) =x² -1 b) S(x) = 4(x+2)² –1 c) (x) =…

A: Given, The graph of the function We have to identify the function.

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: ++ 1 7. The function y = f(x) is shown in the graph above. What is f(S(-2)) ?

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A: We can use the concept of graphical analysis in order to solve the given problem.

Q: (a): Find the value of k that makes function continuous at x = 4 %3D S 2x + 8 x > 4 x < 4 f(x) = 5x…

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

Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

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Q: 5. Imagine that the number of COVID-19 cases is increasing according to the following equation,…

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Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1