Give a rule of the piecewise-defined function. Give the domain and the range. What is the rule? Select the correct choice below and fill in the answer boxes within your choice. if x< if xs] O A. f(x) = O B. f(x) = if x2 if x>I

Q: Identify the function's local and absolute extreme values, if any, saying where they occur. x3 f(x)…

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Q: Sketch the following function. Also, make sure to clearly label the point that corresponds to x = 2…

A: Given- f(x)=-3x-2+1 To sketch the given function and to label the point corresponding to x=2.

Q: Given the function f, determine its domain, range, and intervals where itis increasing or…

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Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,…

A: Topic:- calculus

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: Consider the following function and closed interval. g(x) = (x² – 9)²/3, [-5, 4]

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. (If an…

A: Given query is to find the Indicated value of the function.

Q: Given the graph of f(x) = x² as shown, graph the function f(x + 1). 6. 5. 4. 3. 2. 7 -6 -5 -4 -3 -2…

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Q: Given the graph of f(x) below, what is the open interval(s) over which f' (x) is positive? -4 4-3-2…

A: To find the inetrval

Q: Use the given graph of the function f to find the following values for

A: Since you have asked a question with multiple subparts, we will solve the first three subparts for…

Q: he domain and range of the following function f (x) = x+1 is : x-1

A: Given that  f(x)=√(x+1)/(x-1) To find the range and domain

Q: Evaluate the function at the indicated values.

A: We have to evaluate: f-3f3f0f12 For the function fx=x2-6. In this case we just have to replace the…

Q: Construct a table of values of the following functions using the interval of -5 to 5 a.…

A: When x=-5 g(x)=-52+3×-5-5-52=0.2   Similarly , we substitute -4, -3, -2, -1, 1, 2, 3 ,4 ,5 in the…

Q: 2: If f(x) = and g(x) = find the Domain and Range of the function (f• g)x x+2

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Q: When looking for f [g (x)] the function g is performed first, then f.

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Q: What type of discontinuity does the following function have? x-3 g(x) = 3x+2

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Q: Determine if the given function is decreasing or increasing using the given interval: f(x)=3x-3x^2…

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Q: Consider the graph of the function f (x) = x³. Which change in the function rule will translate f…

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Q: For Exercise, determine if the function is even, odd, or neither. z(x) = V49 + + x

A: To determine if the function is even, odd, or neither.

Q: Use the given graph of the function ƒ to find the following values for f-¹. f

A: We are asked to find the inverse of the function.

Q: Given the function f(x)=x²: (a) Carefully, graph the function from x=-1 to x= 2 (use a ruler and…

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: Graph the functions in Exercises. of the function on the interval and say where they occur. Then…

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Q: A function is given by a table of values. Determine whether it is one-to-one. x 1 2 3 4 5 6…

A: Recall the following fact.

Q: p(x, y, z) = 4 – x² – y²

A: Domain of the function is the values of x,y and z for which function is defined.

Q: 1. f(x) = {.x -4 2, r=4

A: 1- Given- fx=5x-4   x≠42,     x=4 To find- The value of x at which the function is a discontinuous.

Q: Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) :…

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Q: Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x…

A: Given,         The function is fx=x3+0.5x2-2x+2.

Q: Find f(x+h)-f(x) given the following function.f(x) =-9x2-2x

A: f(x) = -9x2 - 2x Hence, f(x + h) = -9(x + h)2 - 2(x + h) = -9(x2 + 2hx + h2) - 2(x + h)

Q: Find the following function's local and absolute extreme values, if any, saying where they occur.…

A: We have to Find the local and absolute extreme values by derivative test.

Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

A: The vertical line test states that a vertical line needs to cuts the graph of a function at only one…

Q: Consider the function g(x)=(f(x))^5. If f(4)=3 and f′(4)=−2, then find g′(4).

A: Given: g(x)=f(x)5f(4)=3f'(4)=-2

Q: For each statement, explain why it must be true, or use an example to show that it can be false. •…

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Q: in a certain state the maximum speed permitted on freeways is 65 mi/h, and the minimum is 40 mi/h.…

A: Given : Maximum speed = 65 mi/h Minimum speed = 40 mi/h Fine is $15 for every mile above or below…

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: Identify the function's local and absolute extreme values, if any, saying where they occur. 10) f(x)…

A: Given First find out critical points by taking derivative and set it equal to 0 Apply power rule

Q: (g) find the rule of f(x) as a piecewise function, and use Desmos to graphf'(x).

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Q: Given the piecewise function below, find the value of which makes the function continuous. -I f(x):…

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Q: Evaluate and tell whether the given function is continuous or not. 5. f(x)= x² + 2x – 4 at x=4

A: See the details solution in below

Q: unction: fx + 2, if x 0 fx + 1, if x -1 b) f(x) =

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

A: Graph problem....

Q: Find the domain of the given function.

A: The given function is defined when 0≤x≤1 and x≠0,x≠1.

Q: What is the range for the function h(x) = (x 3) + 2? | 0(- 0, 3] 0(- 0, 2] 0(- 00, - 2] | O [2, 00)…

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Q: Gnph the following piecewise defined function on the axes provided

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Q: 5x Determine the values of x for which the function f (x) = is discontinuous. x2+x

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Q: Given the graph of f(x) below, what is the open interval(s) over which f' (x) is negative? 3 ÷4-3 ÷2…

A: Given graph of f(x) is

Q: Given the piecewise function below, find the value of k which makes the function continuous. f(x) =…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.