Suppose that the function h is defined on the interval (-2.5, 1.5) as follows. -2 if -2.5

Q: Let f(x)= = m= mx - 12 if x Next Question

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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: Find the interval on which f is increasing and in which interval f is decreasing

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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: F(x) =: (3, 7), [-6, 4), (-∞, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 E F(x) =: (0, 1), (-1, 1),…

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Q: Suppose that the function f is defined on the interval (-2, 2 as follows. -1 if-2<x<-1 if -1<x<0…

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Q: 1 1

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Q: Which of the following is guaranteed by the Intermediate Value Theorem, if f is a continuous…

A: Let's solve given problem by using intermediate value theorem.

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

A: Suppose that the function g is defined on the interval [-2, 2). Now we have to find the values of g…

Q: For the function x2 +3 for x 2 | Identify the discontinuities of f as removable, jump, or in…

A: Given information: The function is hx=x2+3    for  x&lt;110-x   for  1≤x≤26x-x2  for   x&gt;2.…

Q: Determine the numbers at which the function is continuous. 1. f(x) = x?(x + 3)² 2. f(x) = (x –…

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Q: Which is the correct conclusion about the function h(x) ={V4- x2 if x - 3 if h has a removable…

A: Given function is: hx=-x-2    ;  if x&lt;-24-x2     ;  if -2≤x&lt;2x-3  ;  if x&gt;2 We have to…

Q: Find number k, so that f is continuous at every point. 3x+9, if x-6

A: Given,  fx = 3x+9   if   x&lt;-6kx+6   if  x ≥ -6  fx is continuous at every point, then we have to…

Q: Suppose that the function f is defined on the interval -2, 2) as follows. -2 if-2<x<-1 -1 if-1<x<0…

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Q: Below is the function f(x). 6- 4- 3- -7 -6 -5 -4 -3 -2 -1 4 -3 -4- -6 Over which interval of x…

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Q: Suppose that the function f is defined on the interval [-2, 2) as follows. -2 if -2<x<-1 -1 if…

A: It is given that,   f(x)=-2  if -2≤x&lt;-1-1  if -1≤x&lt;0 0    if  0≤x&lt;1 1   if  1≤x&lt;2 We…

Q: On which interval is the function )--- increasing? A I1

A: f(x)=-x3-x2⇒f'(x)=-3x2-2x

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: Below is the function f(x). 5 4- 46 -5 -4 -3 -1 -1 2 3 4 5 -2 -3 -4 -6 -7+ Over which interval of x…

A: The graph of the function is given by

Q: What is the graph of a function f that satisfies the following con- ditions: • f'(x) > 0 on (-00,-1)…

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Q: On what interval is the following function positive. f (x) = -z² -2x + 8

A: We have to find the interval where the function f(x)=-x2-2x+8 is positive.

Q: Suppose that the function g is defined on the interval (-2, 2] as follows. -1 if -2<x<-1 if –1<x<0 g…

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Q: If f(x) be a function that is increasing on the interval (4,10). Over what interval is f(2x)…

A: f(x) is increasing from x = 4 to x = 10Lets change the variablef(t) is increasing from t = 4 to t =…

Q: Find the absolute maximum and minimum of the following function on the indicated interval. f (x) =…

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Q: . Find the absolute the following functions on f(x) = x² - 6x + 5 minimums the and maximums of given…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: Suppose that the function h is defined on the interval (-2, 2 as follows. -1 if-2<xs-1 if -1<x<0 0.…

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Q: Which of the following is TRUE for the function g(x) = x^2-2x? O g(x) is increasing on (-infinity,…

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Q: Use the given graph of the function f(x) to complete the statement. 4. 3- -3 -2 -1 3. -11 2 -1 - 00…

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Q: Suppose that the function h is defined on the interval (-2, 2 as follows. (-1 if -2<rs-1 if –1 <x<0…

A: Solve the function

Q: Suppose that the function f is defined on the interval -2, 2) as follows. -2 if-25x<-1 -1 if -1Sx<0…

A: Function value at a given point

Q: Which of the following intervals is the function f(x) =3x - 20x strictly increasing given its graph…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q -5-4-3-2 25- 20- 15- 10- 5-…

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Q: 6. In which of the following intervals is the function y = x + 3x2 increasing only? -3<x<-2 -3<x<0…

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Q: 14. Explain why there is no value of k that will make the following function continuous. 5x, if x 3…

A: Given that: f(x)=5x,   if x&lt;-1x+k,    if -1≤x≤32x2  ,   if x&gt;3

Q: Find the open intervals on which the function is increasing or decreasing         h(x) = √x(x − 3),…

A: For a critical point, we solve h'(x)=0

Q: Suppose that the function h is defined on the interval-2, 2) as follows. -2 if-2<x<-1 -1 if-1<x<0 h…

A: Given:     To determine: h(-2), h(-1.5), h(1)

Q: Determine whether the function f(x)=5+3x if x <4…

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Q: 10) Find the open intervals on which the function is NOT increasing y = x/50 – x²

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Q: Determine the interval(s) on which the following functions are continuous. 2 - 4x + 3 x - 1 s1x2

A: solution:-  f(x)=x2-4x+3x2-1we have to determine the interval at which function is continuous.

Q: Use the graph of the function y=f(x) below to answer the questions. y 5- # 3- 2+ 1- -5 -4 -3 -2 -1 4…

A: The given graph is:

Q: For what value of the constant c is the function f(x) continuous at x = 1 Seter-2, | In (x) + 6, if…

A: We will use concept of left hand limit and right hand limit in this problem.

Q: Which of the following intervals will contain all of the function values of f (x) on the interval-4,…

A: We can solve it by cross check from given options  Let we select 0 from interval [-4,1] at x=0 f(0)…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Are there any values of r for which the function A is discontinuous? Why?

A: We have to find out

Q: Determine if the function is continuous on the given interval. - 1. f(x) = √x² – 25 ; [−6, −5] 2.…

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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: Determine the intervals on which the following function is continuous. x2 - 3x +2 f(x) = x2 - 1

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Q: If |ƒ(w) - ƒ(x)| &lt;=|w - x| for all values w and x and ƒ is a differentiable function, show that…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- 64…

A: Given graph of function

Q: Which of the following is the x-coordinate of the relative extremum of the function f(x) = - 3x - -e…

A: Given: fx=-13e-3x-5x+47