1. Find all extreme values (if any) of the following function on the given interval. Determine at which numbers in the interval these values occur. f(x) = /1+ æ³;[-1,2]

Q: 6. Let r(x) = 1 + 3r– 10 and s(x) = x- 2. Build a new function, 1(x), for which 1(x)=| State any…

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Q: 1. Find the local extrema of f(x) = x* – 2r2 +1, and state the intervals on which this function is…

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Q: on satisfying f'(x) the function sat

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Q: 5. For the given functions f(x) = , g(x) = x + 2, find and its domain in interval notation. x-8

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Suppose that h(x) = f(x) / g(x) . The function f can be even, odd, or neither. The same is true for…

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Q: 2. Find the absolute maximum and absolute minimum of the following function on the given interval.…

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Q: 15.a Is the function a.EVEN b. ODD f(x) = |x|, -π< x < T

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Q: 1. Determine all values of the constants a and b so that the following function is continuous for…

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Q: If g(x) is an odd function defined for all values of x , can anything be said about g(0) ,Give…

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Q: 4- if f(x)= {† * *S S2 +x x 15 is this function is continuous or dicontinuous a) continuous b)…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Consider the following piecewise function where c is a constant real number. Зx2 + 5с х 2 3x2 + 5c x…

A: For limit to be existing both left side limit and right side limit should be equal

Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. Suppose f(x) is an odd function. Prove that g(x)=f(x)| is an even function.

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Q: Find the absolute extreme values of the function on the given closed interval. 1 (x) = 10 + 27 x – x…

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Q: a) Determine the values of a and b, for which the following function is continuous at every x. ax +…

A: Given, h(x)=ax+2bif x≤0x2+3a-bif 0&lt;x≤23x-5if x&gt;2     Determine the value of a and b:

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 + 2x² –…

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Q: if g(x) is an odd function defined for all values of x,what can you sat about g(0)

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Q: * 4. Determine a constant k for which the following function will be continuous on (-00,00). 3x + k,…

A: Solution of question as follow

Q: 1. Determine all values of the constants a and b so that the following function is continuous for…

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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: 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: . 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: 1. Find the value of c to make the following piecewise function continuous on the the interval (-o,…

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Q: 12. Find the value of k that will ensure that the following function is continuous at x = 3: x² + k…

A: As we know that the function is continuous at x=a if:   limx→a-f(x)=limx→a+f(x)=finite…

Q: Suppose thatƒ (1) = 2, that f ' (x) is the function shown in the graph below, and that k (x) = f…

A: Equation of tangent line : y - y0  = m ( x - x0 )  m is the slope of function . And ( x0 , y0 ) is…

Q: Given the function f(x) = x² and the closed interval [0, 1], which of the following is a value of c…

A: Given query is to find the value of c.

Q: 1. Write the conditions a function has to meet in order to be continuous at point a. a) b)

A: A function f(x) has to meet these conditions in order to be continuous at any point a

Q: Зх— 12 Given a function defined by f(x) = for what х2 — бх + 8 value(s) of x is the function…

A: A function is said to be dicontinuous if it is not defined at a point fx=3x-12x2-6x+8…

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

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Q: 20. For the given graph of f(x), use interval notation to express the solution to f(x) > 0. -4 -3 -2…

A: For the graph y=f(x), the f(x) is said to be ≥0, if the graph is above or on the X-axis. For…

Q: Which of the following assumptions have been made about the function f(x)=a(x-h)² + k if it is…

A: Given:            The graph is concave up and its vertex is in quadrant IV.

Q: Find the absolute minimums and maximums of the following function on the given intervals

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Q: Use the following graph of f(x) to answer questions 3-4. to F2 Determine all values of x in the…

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Q: Find the absolute minimums and maximums of the following function on the given intervals

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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: For what values of b is the given function continuous for every x? X - b b + 1 g(x) = x²+b x > 0

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Q: Suppose that the function h is defined on the interval (-2.5, 1.5) as follows. -2 if -2.5<x<-1.5 -1…

A: We can answer all the three questions as below.

Q: 1. Construct a table of values of the following functions using the interval of -5 to 5. a. g (x) =…

A: gx=x3+3x-5x2 When x=-5, g-5=-53+3-5-5-52=-5.8 When x=-4, g-4=-43+3-4-5-42=-5.0625 When x=-3,…

Q: Find all points on the graph of, for which f′(x) = 0 and those for which f′(x) does not exist.

A: Given: f(x) = x2-123  To find: The points on the graph for, which f'(x) = 0 and those for which…

Q: 2. For what value(s) of x is the following function undefined? 1 f(x) %3D x²-2x

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Q: Determine whether the following function is continuous, differentiable, both continuous and…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: 1 Consider the function f(x) = 5 – x - Complete the following table of values, in which x< 5. 3 4…

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Q: Suppose g is an odd function and let h = f ° g . Is h always an odd function? What if f  is odd?…

A: Given  g is an odd function and let h=f∘g. To find  Is h always an odd function? What if f  is odd?…

Q: 4. Suppose that f: X Y is a one-to-one function and that A C X and BC X. Prove that f (AnB) = f (A)…

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Q: Find values for x at which function f(x) is discontinuous. f ( x ) = { x + 2 if x  1 }

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² – 20x − 2 on the interval [3, 7], how many…

A: We have to apply Rolle's theorem.

Q: Consider a function f defined from the interval [4, 7] to the interval [4, 7]. Which of the…

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Q: If we apply Rolle's Theorem to the function f(x) = 2x² – 20x – 9 on the interval [3, 7], how many…

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

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Q: 1 g(x) = 1 +3 x E [1,5]

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.