Sketch the graph of the following function and find any discontimuities x2-1 f(x) = %3D x-1

Q: Describe how you could use the graph of f(x) = 2x to obtain a decimal approximation for √2.

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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: f(x)= (x-2)e

A: the given function is f(x)=x-2e-1x the domain of the function is x>0 or x<0 find the x…

Q: Suppose the graph of the function f(x) looks like -1 Of the following graphs, which is the graph of…

A: The most easiest way to draw f-1(x) is to draw mirror image of the graph of f(x) across the line…

Q: y = |x – 1|; 0 < x < 10

A: We have to sketch the graph of following equation.

Q: Sketch the graphs of the following function.   y = ex-1

A: Given: The function y=ex-1 . For different values of x∈R, the y values can be tabulated as, x…

Q: Sketch the graph of the following two functions ( (10 – 2x if x 2 - f(x) =

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Q: Find the open intervals on which the function is increasing or decreasing          g(x) = (x + 1)3

A: We first find g'(x)

Q: Sketch a possible graph of a function with the following properties: x-intercepts: -1, 1 Critical…

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Q: 10) Sketch the graph of the piecewise function below. (-x+31+5 x2 + 2 f(x) = x20 10

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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: Consider the graph of f(x) given below: 6 f(x>

A: Given,

Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |리1.…

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Q: Graph the functions in excercise

A: Solution:Giveny=9-x

Q: 6 Select the correct graph of the function f(x)= x+4:

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Q: 6) Sketch the graph of the following piecewise function. x 3 x – 4 h(x) = 7 x² – 1

A: Given ,  h(x) = x - 4 ; x &lt; -2 Then ,  h(-3) = -3 - 4 = -7 h(-4) = -4 - 4 = -8 And  h(x) = 7 ; -2…

Q: Show that the production function f(x) = - () x³ + 10x² + 5x, –∞<x<∞ has both a concave and convex…

A: Given f(x)=-23x3+10x2+5x, -∞≤x≤∞ Consider the function f and its derivative f' can be differentiated…

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

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Q: Graph the function defined by g(x) = |x + 2|.

A: Given function is, gx=x+2. Graph the absolute value using the vertex and few selected points.   x…

Q: Exercise 9: Graph the following functions, labeling all extreme values, points of inflection, and…

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Q: S-2x + 1, x < 0 x2 – 1, x 2 0 1) f(x) =

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Q: Given the graph below, what can you say about the function at x = -2? -10 Not Continuous Continuous

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Q: what is the graph of the following function (2x+1)(x+2)/(x-1)(x-3)?  where are it's vertical and…

A: The objective is to draw the graph and find vertical and horizontal assymptote.

Q: The graph below is the function f(x) 4 2 -5 -4 -3 -2 -1 1/2 3 4 5 -2 -3 -4- -5+ lim f(x) = f(0) =

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Q: Consider the graph of y = f(x) in Figure 4.1. How many local maxima does fhave? \F(x) 17 18

A: Hi, I am sending the explanation in written format, kindly adjust. I have written the answer in…

Q: Explain why the function is discontinuous at the value of "a" given and draw the graph 2x-5x-3 si…

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Q: 2) f(x)= 2x x2+1

A: Sol:- Extreme Points of 2xx2+1First Derivative Test definitionSuppose that x=c is a critical point…

Q: Consider the graph of the function h(x)=2x-1 over x+2. Write down the equation of the vertical…

A: Given function,  h(x) = (2x - 1)/(x + 2)  To find the vertical asymptotes.

Q: 3. -2y = x + 4, 0 <x< 4

A: Given: The function is -2y=x+4. The interval for the function is 0&lt;x≤4

Q: 4 - Which of the following is FALSE for the graph of the function f(x) = xe"?

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Q: 3. Graph the function well. 0 and create a table of values for this function as

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Q: By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given…

A: From the given problem:   hx=x2-1x∈-4,5   Now differentiate the given function with respect to x and…

Q: 2. Given the graph of the function:

A: Given :    Reciprocal graph is given .

Q: Sketch the graph of the following function and find any discontinuities x2 – 1 f(x) = x - 1

A: fx=x2-1x-1 Since the value of numerator and denominator is zero when x=1, therefore the graph must…

Q: Sketch the graph of the f(x) = 3 – et+1 below and state its domain and range.

A: Given that  f(x)=3-e^(x+1)

Q: Find the function f(x) Ca whose graph is given.

A: 1) The points through which the graph passes are  (x,y)=2,532 and (x,y)=0,10. Since the graph passes…

Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

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Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x&lt;2  or   x&gt;2, &amp;  4  :…

Q: Use the graph of the greatest integer function y =⌊x⌋

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Q: (a) Consider the following graph of a function y = f(x): 2 2 3 -2

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Q: Use the graph of the greatest integer function y =⌊x⌋

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Q: Graph the following function over the indicated interval. y=exl; [-5,5] ...

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Q: Graph the function and determine the range. Label points of interest clearly. if r -1

A: The given function,  f(x)=xif x&lt;-1-x+3if x≥-1

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 2)

A: Given: f(x)=x2 ,        0,2

Q: 4 Sketch the graph of the following functions, within the specified domains and hence determine…

A: The graphs of the given functions are sketched and their ranges are determined as shown below.

Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |x|.…

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Q: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

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Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

Q: Find the open intervals on which the function is increasing or decreasing.        h(x) = 12x − x3

A: Given function - h(x) = 12x-x3let's find the critical point of the function h(x) , by h'(x) =…