Choose the interval where the function is positive. -4 -6 -2 2 2 4 -6 -00 < < 00 0<< 00 C -2 <<2 -00

Q: 8. Find the absolute max and min values of the function f(x) = (22 - 8)2 on the interval [-3,0].

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Q: F(-2+ h) – F(-2) If F(x) = 5x + 2 then find h F(-2) = F(-2+h) = h+ F(-2+h) – F(–2) h

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Q: Consider the function f(x)=5x2−40x on the interval [0,5]. Find the absolute extrema for the function…

A: For maximum or minimum consider f'(x)=0

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: The given function is fx=x+223 Definition used: A function f differentiable at x = a if and only if…

Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: Determine all intervals on which f(x) 2 0. Graph of f 8. 6. 5. 4 3. -9 -8 -7 -6 -5 -4 -3 3 4 5 6 78…

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Q: Use the graph to determine the intervals on which the function is increasing or decreasing. (Enter…

A: From the graph we see that the function is going upwards from x=-3 to x=0 The graph is going…

Q: (2) If you are only given the formula for a function, how do you determine on what intervals a…

A: To explain: The method to determine the interval in which function is concave up and concave down.…

Q: y=f' (x) -20 -10 10 20 -10 On what intervals is f(x) decreasing? -3 3 -3 < x < 0 Ox < -3 Ox < -3 or…

A: f(x) is increasing on the intervalIf f'(x) &gt; 0f(x) is decreasing on the intervalif f′(x) &lt; 0

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A:

Q: 5) State the intervals of concavity in the function g(x) = (x – 9) 2/3.

A: Answer and explanation is given below

Q: The intervals where the function f(x) = -x2 +8x +8 is increasing or decreasing is increasing in…

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Q: Give a formula for a function y = ƒ(x) and shows the graphs of ƒ and ƒ -1. Find a formula for ƒ -1…

A: Consider f(x)=x2-2x+1. Now we have y=x2-2x+1⇒y=x-12⇒x-1=y⇒x=y+1x≥1⇒y≥12-21+1=1-2+1=0

Q: Find the absolute extreme values on the given interval. f (x) = 2a2 – a3 [1,3] Absolute Max:…

A: Given, fx = 2x2-x3  on the interval 1, 3 We have to find the absolute maximum and absolute minimum…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: To find critical point of a function, 1) just find y' 2) y'=0 3) solve for x.

Q: Determine (0, 4n -2, 1).Give your answer in interval notation. O A. [-2,0) U (0, 1) u (1,4] O B.…

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Q: Describe the concavity for the function f(x) = xª – 8z². O f(x) is concave down for the intervals…

A: Given, fx = x4 -8x2 We have to find the intervals of concavity of the function

Q: Set f(x) = 2 Find the domain of f(x). Do not use decimals and use interval notation to express 414z…

A: we have to calculate domain

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

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Q: Select all the intervals where f is increasing. 2.5+ y= f(x}- 2+ 1.5+ 1+ 0.5- -4 -3 -2 -1 3 4 -0.5+…

A: Consider the given graph. We have to find the all the intervals where f is increasing. Definition of…

Q: x2 - 9 Find the interval where the function x2 + 5 x - 24 is continuous.

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Q: 4- 2- -543-2 1 2- -4 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: Graph of the function is given, we have to find its increasing and decreasing intervals

Q: Consider the function f (x) = 4x³ – 30x² + 48x on the interval [-3, 7]. Find the absolute extrema…

A: Given ,  f(x) = 4x3 - 30x2 + 48x on the interval [-3 , 7] We have to find the absolute extrema for…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.)…

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Q: Find the absolute Extrema of given Function, on given interval and state where those values occur.…

A: Answer

Q: (c) For what values of a and b does the function ах — 3, x < 4 f(x) = (-x² + 10x – b, x2 4 satisfies…

A:

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Graph of the function is given, we have to find its increasing and decreasing intervals

Q: Consider the function f(x)=x3−5 on the interval [−4,6]. Find the absolute extrema for the function…

A: Given function is f(x)=x3-5 the derivative f'(x)=3x2 setting it equal to zero, 3x2=0…

Q: Find the value for the function; Find f(x+ 1) when f(x) = x^2 -6/x-3

A:

Q: 3 - T- - トー - -1 | 2 3 4 y= f(x -4 The function's domain in interval notation. The function's range…

A: The domain of f(x) is the set of all possible values of x for which f is defined. The range of f(x)…

Q: Determine where the function m(x) = x + 1 (x-1)(x-7) is continuous. The function is continuous on…

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Q: s) = -; p2 of 4: Determine where the function is increasing and decreasing. Enter your answers in…

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Q: 13. Choose the correct intervals that represent the graph. f(x) < 0, where f(x) = (x + 4)(x + 2)(x -…

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Q: To conduct an experiment, the room temperature in a lab needs to be as close as possible to -2…

A: V(x) is the modulus of difference between room temperature x and -2. So we have  V(x)=x-(-2)=x+2 (a)…

Q: Function f(x)=x°-6x+1 , increasing on interval .. (-00, -V3) and (V3, 0) 1. O (-v2, vz) 2. O (-0,…

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Q: Find the domain of the function. (Enter your answers using interval notation.) f(x,y) = e−xy domain…

A: For exponential functions, there are no restrictions on the values of x and y

Q: (a) The solution set for f(x) > 0 is (- o,- 2)U(0,3) (Type your answer in interval notation.) (b)…

A: Solution: The objective is to find the solution for f(x)&gt;0

Q: y y 5 - 15 - 10 5 5 10 15 - 15 - 10 -5 5. 10 15 - -5 State the domain and range. (Enter your answers…

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Q: The function f(2)--12 +3 is increasing on the intervalse (A) (-. -3) and (3, x) (B) (- 2, 2) (C)…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: f(x)={(4-2x, x2)} Describe the interval(s) on which the function is continuous. (Interval Notation)…

A: Given Data The function is f(x)={(4-2x),x&lt;=2),                                      {x²-3,…

Q: Select all of the functions that are increasing on the interval x>2  Option 1 and 2 are  y=(x-5)^2…

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Q: Given the function f (x) = x3 – 3x2 what are the intervals on which f is increasing? Select the…

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Q: Consider the function f(x) = 3x - 81x on the interval [-5. 4]. Find the absolute extrema for the…

A: Given f(x)=3x3-81x on the interval [-5,4]

Q: Find the absolute extremes of f(x) = e^x - x on the interval [-5, 2]   (find max and min)

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Q: -2 6 -10 -8 -6 -4 6 8 -8 -10 On what interval of x-values is the function g(x) increasing? A. (-3,…

A: from graph  g(0)=-3 g(1)=0 g(2)=5 g(3)=6 g(4)=6 g(5)=6 g(6)=6 g(7)=4.5 g(8)=3 g(10)=0

Q: 15 10 5- -8 -6 2 4 6 8 -5 - 10 -15 - 20 Determine intervals on which the function is concave up.…

A: Given            f(x)=14x4+12x3-3x2+9

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = -x² + 10x - b, x2 4 satisfies…

A: