Suppose that the function h is defined as follows. 2 if -3.5

Q: Draw the graph of a function for which the conclusion of Rolle’sTheorem does not hold.

A: To draw the graph for which Rolle's theorem does not hold.

Q: Suppose that the function g is defined as follows. - 1 if - 3<x<-2 if - 2<x<-1 if - 1<x<0 if 0<x<1…

A: topic - functions

Q: Sketch the graph of the given function. y2 if -2 < x < 0 3 if 0 < x < 3 X f(x) = -10 O O -10 -5 -5…

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Q: Which of the following is the absolute minimum value of the fuk took f(x)=(x-3)^3 on interval [1,4]

A: The graph is shown below:

Q: The graph below is the function f(x) 5+ 4 3 5 -4 -3 -2 -1 1 23 -2 -3 -4- -5+ lim f(x) = x →2 F(2) 2,

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Q: Suppose that the function f is defined as follows. -3 if -3.5 <x<-2.5 -2 if -2.5<x<-1.5 f(x)={ -1 if…

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Q: Complete the description of the piecewise function graphed below. 6 5 4 4 if m-fi { f(x) = -2 if 3…

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Q: 7 H W N r 1 9 na O 1 2 3 4 5 According to this graph, the function is discontinuous at x = 2. True…

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Q: Suppose that the function fis defined as follows. -1 if -3.5<x< -2.5 0 if 2.5<x< -1.5 - f(x)= 1 if…

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Q: Suppose that the function fis defined as follows. -2 if -2.5 <x< -1.5 -1 if -1.5<x<-0.5 f(x) = 0 if…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: The graph of the piece-wise defined function f(x) is given below. 1 if x < -1 f(x) = if - 1<x << 2 4…

A: Given that fx=1If x&lt;−1x2    If -1&lt;x&lt;24If 2&lt;x

Q: Identify the function that matches the graph except at x = 2. 5 4 3 2 1- -54-3 -2 -1 -1 -2 + --4 + 1…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: What is the end behavior of the graph of the function f (z)=-z z + 6? O As -> 0. f (z) – > -00 As ->…

A: Given: fx=-x3-x2+6 We know that for any polynomial end behavior depends on maximum power of x term…

Q: Suppose that the function g is defined as follows. -3 if -3.5<xs-2.5 -2 if -2.5<xs-1.5 g ৫) = { -1…

A: The given function is: g(x)=-3       if  -3.5&lt;x≤-2.5-2   if  -2.5&lt;x≤-1.5-1if…

Q: 0. if x -1 . Graph the function f.

A: Given the function f is f(x) = 0if  x&lt;-13if  x=-1-3if  x&gt;-1

Q: Sketch a graph of the piecewise defined function. S5 - x2 if x s 2 f(x) = if x > 2 y y 15 15 10 10…

A: To sketch the graph of a given piecewise function.

Q: Suppose that the function g is defined as follows. 3 if – 3<x<-2 -2 if – 2<x<-1 g (x) = - 1 if…

A: Given query is to graph the function.

Q: Suppose that the function h is defined as follows. if - 1.5<x<-0.5 -2 if - 0.5<x<0.5 h (x)={ - 1 if…

A: The given function,hx=-3if -1.5&lt;x≤-0.5-2if -0.5&lt;x≤0.5-1if 0.5&lt;x&lt;1.50if 1.5≤x&lt;2.51if…

Q: Suppose that the function fis defined as follows. f(x) = - 1 0 1 2 3 Graph the function f. if -2.5 <…

A: Here we have to graph the function.

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A: Given:

Q: Suppose that the function h is defined as follows. -1 if -2.5 <x<-1.5 if -1.5 <x<-0.5 h(x) = 1 if…

A: Given: hx=-1if -2.5&lt;x≤-1.50if -1.5&lt;x≤-0.51if -0.5&lt;x&lt;0.52if 0.5≤x&lt;1.53if 1.5≤x&lt;2.5…

Q: 7. If, for all real numbers x, f'(x) 0, which of the following curves could be a part of the graph…

A: For all real numbers xf'(x)&lt;0 ⇒f(x) is decreasing for all real numbers.f"(x)&gt;0 ⇒f(x) is…

Q: 5. Consider the following piecewise function. x-4, if x>2 f (x) = {- 1, if x = 2 x² - 4, if x<2 a)…

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Q: Suppose that the function g is defined as follows. -2 if -1.5<xs-0.5 -1 if -0.5<x<0.5 g(x)= 0 if…

A: To draw the graph of the Given function g

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: 1 if x 1 5- 4 -5 -4 -3 -2 -1 2 3 4 5 -2 -3 -4 -5+ Clear All Draw: /

A:

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A:

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A: Increasing Interval: Where the graph goes upwards. Decreasing Interval: Where the graph goes…

Q: Suppose that the function fis defined as follows. -3 if -3.5<xS-2.5 -2 if -2.5<xS-1.5 f(x)={-1 if…

A: Below is the graph of function f(x)  plotted

Q: Suppose uiat the function g is defined as follows. -1 if - 3 <x<-2 if -2<x<-1 8 (x) = 1 if -1<x<0 2…

A: Given that: g(x) = -1     -3≤x&lt;-20          -2≤x&lt;-11        -1≤x&lt;02       0≤x&lt;1 To Plot:…

Q: Draw a graph of a function that satisfies the following p 1) f(x) 0 for x>0 3) f(0) = 0 %3D 4) f is…

A: Given description of function 1) f(x)&lt;0 for x&lt;0 2) f(x)&gt;0 for x&gt;0 3) f(0)=0 4) f is…

Q: Let f(x) = 3 square root of x. If g(x) is the graph of f(x) shifted up 1 units and left 3 units,…

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

A: We have given the graph of function f(x) and we have to find out f(x) when lim x→0 and f(x) at x =…

Q: Suppose that the function f is defined as follows. f(x)= −3   if -1.5 < x < −0.5           −2   if…

A: fx=-3    if  -1.5&lt;x≤-0.5-2    if  -0.5&lt;x≤0.5-1    if      0.5&lt;x&lt;1.5  0     if…

Q: The graph below is the function f(x) 8+ 7- 4 2- -8 -7 -6 -5 -4 |-3 -2 -1. -1 12 3 4 5 6 7 8 -2- -3…

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Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from…

A: Given query is to find the graph of the derivative.

Q: Suppose that the function h is defined as followel -3 if-3.5<xs-2.5 -2 if -2.5<xs-15 h(x)=-1 if…

A: Just observe and make sure of holes and dots.

Q: 11. State a function rule for the following graph. -x+3 if x<2 A. f(x) =- X-5 if x 2 2 dong…

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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: Suppose that the function h is defined as follows. - 1 if – 1.5<x<-0.5 if - 0.5<x<0.5 h (x) = 1 if…

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Q: Suppose that the function g is defined as follows. 2 if -3.5 <x<-2.5 -1 if -2.5 <x<-1.5 g(x) = if…

A: Red line denote the graph of function  draw that whatever given in question its like a greatest…

Q: 3 if x 1 5 4 5 -1 -1 -5 -4 -3 -2 2 3 4 -2 -3 -4 -5 Clear All Draw: 2] 2.

A:

Q: Suppose the funcion x is defined as follows.          {-1 if -3.5 < x < -2.5         { o if -2.5 <…

A: Given function, h(x)=-1  if -3.5&lt;x≤-2.50    if -2.5&lt;x≤-1.51     if -1.5&lt;x≤-0.52     if…

Q: 6. Finally, for each of the values a, b, c, d, e, f,9, and h, state whether the function whose graph…

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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: 6. The graph of a function f, which consists of two line segments and a quarter circle, is pictured…

A: As per the Fundamental theorem of calculus, the derivative of the given function H(x)=∫-2xf(t) dt…

Q: Draw the graph of the following function: 3 when -3<x<-1 f(x)= 3x-3 when 0<xsl — 6х -3 when -1<x<0…

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

Q: If the graph of a function f(x) is decreasing over the interval (a, b) then which of the following…

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Q: Suppose that the function h is defined as follows. if -1<xs0 if 0 <xS1 1 h(x) = if 1<xs2 3. if 2<xS3…

A: It is given that the function is defined as hx=0 if -1&lt;x≤01 if   0&lt;x≤12 if    1&lt;x≤23 if…

Q: х — 6 if x 1 | 7

A: GIven:f(x)=-x-6   if x≤-2  -3         if -2&lt;x≤1x-4      if x&gt;1To sketch the above piecewise…