ns: Graph the piecewise functions given be (-x² +3, /x-3+1, 3. f(x)=< %D x> 2 10- -10

Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

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Q: True or false: The graph of the reciprocal function f(x) =1/x has a break and is composed of two…

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Q: Use the graph of the function to estimate the interval on which the function is increasing. -5- 4 3-…

A: GIven problem:-

Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

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Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is increasing if for each x1&lt;x2 we have fx1&lt;fx2. Similarly a function f(x) is…

Q: The graph of f(x) = is (increasing/decreasing) over its domain.

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Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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Q: 1. Let f(x) = -(x - 3)2 + 1. Find the vertex. Give the range of the function.

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Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

A: The cost to produce a certain commodity is given by the function C(x)=50x+2000. The corresponding…

Q: The initial value of a function f = f (x) is 5. That is, f (0) = 5. Each time x is increased by 1,…

A: Given  The initial value of a function f = f (x) is 5 i.e. f (0) = 5 Each time x is increased by 1,…

Q: suppose (-2,1) is a point on the graph of y=f(x). what is a point that will be on the graph of…

A: Topic - functions

Q: (4) Sketch a graph of the function y || 2

A: For the given function

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

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: 4. Using at 7 points, graph the function f(x)=2x

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Q: Word problem

A: (a) Sketch the profit versus the number of bicycles sold as follows. Since the minimum number of…

Q: 3. Which interval of decrease is incorrect for the given function in each case? a) y = 5/x; (-00, +…

A: Given that:

Q: The graph of f(x) = is (increasing/decreasing) over its domain. 3 ()

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Q: 8) For the function f(x) = Vx – 4 a. Graph f (x) b. Graph f-1(x) c. Write an equation for f-1(x)

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Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

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Q: Sketch the graph of the function f. Sx - 3 f(x) 1-2x + 3 if x s 2 if x > 2

A: Given that: f(x)=x-3,      if  x≤2-2x+3,  if x&gt;2

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Solution

Q: 2. f(x) = 3[ x]

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Q: 28)Use the graph to solve a) f(x)0 -fx)

A: To solve the given equation and the inequality , straight from the graph of y=f(x).

Q: Suppose that the function y=f(x) is decreasing on the intervals (8,3) what can be said about the…

A: Question is solved.

Q: The graph of y= {x) is compressed horizontally by a factor of reflected in the y-axis. What is the…

A: We have to find the equation of new function in terms of f(x).

Q: Find the point on the graph of the function f(x)=(x+1)2 that is closest to the point (-6,1). Round…

A: Plot the curve f(x) and the point ( -6, 1). Assume any general point x1,y1 on the curve f(x) and…

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: A function has a y-intercept of 2 and is increasing for values of the domain greater than 4. Which…

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Q: Find the average rate of change of the function from x = 1 to x = 2  F(x) = 8/x^2   Average rate…

A: We have to find average rate of change of function

Q: Find the point on the graph of f(x) = √x that is closest to the point (6, 0).

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Q: Investigate the behavior of the function as n or x grows large by making a table of function values…

A: Consider the given function, fn=4n+16n-5 calculate values of the function to make table taking n as…

Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: 9) Differentiate the following function. Simplify your answer as much as possible. Show all steps y…

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Q: The figure shows the percentage of the U.S. popul ati on, f(x), made up of teachers as a function of…

A: Given graph is,

Q: The graph f(x)- x² is transformed to create m(x) - f(bx)², where "b" is less than 1 but greater than…

A: Given function is                                                                         f(x)=x2…

Q: A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function…

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Q: Find a function that has vertical asymptotes at x=4 and x=-2. X-intercepts at (1,0) and (-1,0) and a…

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Q: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

Q: Consider function y = 4x divided by x2 + 3 Determine all relative and absolute maxima and minima…

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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: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

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

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Q: Find a formula for a function that has vertical asymptotes x =1 and  x = 3and horizontal asymptote y…

A: Given that a function has vertical asymptotes x=1 and x=3 and horizontal asymptote is y=1. To find…

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: Graph the function: f(x) = x+1 for x<2. Show a T-chart with all of your work. Determine a solution…

A: Given function is f(x)=x+1 and we have to plot graph of f(x) for x&lt;2We have to show a T‐chart for…

Q: Determine the vertex of the function f(x)= lx-1l -1 How do I solve this?

A: