6. Graph the piecewise defined function. 1x+4] if x<-3 G(x)={2-x if -32

Q: In the function f(x) = a(x + 2)(x – 3)%, a and b are both integer constants and b is positive. If…

A:

Q: 4. Which of the following functions has a maximum value? a. f(x) = x- 3x + 4 b. f(x) = 2x + 5x + 3…

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x…

A:

Q: 3 Show that the function f(x) = - 2x + 5x has no relative extreme points. Relative extreme points…

A: Consider the function fx=13x3−2x2+5x Differentiate fx=13x3−2x2+5x with respect to x…

Q: 4х+7 (ii) If f(x)={ 1<x<2 determine whether the function f(x) is continuous 14x² -1 2<x<4 throughout…

A: Continuity of the function

Q: Find the absolute maximum of the following function over the interval [1,3]: f (x) = x3 – 9x2 + 24x…

A: Differentiate the function with respect to  x and equate it to zero to find critical points,…

Q: 2-→Find-the-residues of the-function-at-its-poles F1:(2)-(2-z-+3)/(z²-4)1

A: The given complex function is: F1(z)=2z+3z2-4

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: (i) Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 2 2x + 4 if x ≥…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the functionfx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3we discuss about the discontinuity of the…

Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: Draw a sketch of the graph of the function g(x) =-x3 + 3x2 +9x that includes all critical points and…

A: Use second derivative test

Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: determine from its graph if the function is one-to one.

A: fx=1-x2,x≤0xx+2,x&gt;0

Q: 14. Find the minimum value of the function f(r) = x + 4x + 5. -2 5 1.

A: Given function: fx=x2+4x+5 To determine: Minimum value of the function.

Q: Find all values k that make this function continuous at x = 3. 3.x – 9 - if x > 3 x2 3.x f(x) - 3x…

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: To check for the continuity of the function fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: 3. Determine all the numbers c which satisfies MVT for the function f(x) = x3 + 2x2 – x n |-1, 2] on

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: 9. Given f'(2) does not exist and f"(2) > 0, is x = 2 a maximum, minimum, or neither of f? Explain.

A: Given: x=2f'(2) = does not existf"2&gt;0

Q: Find the absolute maximum and absolute minimum of the function f(x) r2-6x + 5 over (1, 6].

A: Given function: fx=x2-6x+5 To find: Absolute maxima and absolute minima over 1,6.

Q: Show that the following continuous function has a root between l and 2. f(x) = 4x - 6x² + 3x - 2

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3

Q: 2 Show that the function f(x) = x-4x + 10x has no relative extreme points. 3X Relative extreme…

A: Given, Function: f(x) = 23x3-4x2+10x Differentiate f(x) with respect to x, we get: f'(x) = df(x)dx…

Q: 4. Which of the following function has an absolute minimum on (-o, +00)? (a) ƒ(x) = 5 – 3x² (b) f(x)…

A: Given: To identify which function has an absolute minimum on (-∞, +∞) a) f(x)=5-3x2 b) f(x)=x5+3x2…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: . Find the maximum and minimum values of f(x)= x*-3 x-1 on [-2,2].

A: fx =x4-3x3-1 , -2,2 first find critical point of given function  f'x =4x3-9x2 Now set first…

Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

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Q: Determine all critical points for the function. f(x) = x 3 - 12x -2

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x²+2x x≤1…

A:

Q: 5. A taxi company charges $3.00 for the first 0.25 km (or part of a quarter kilometer), and $0.25…

A:

Q: Find the absolute maximum and absolute minimum of the function f(r) = 4x + 3 over 1, 4.

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Q: Compare the graphs of the functions. Y1 = In(2x) and Y2 = In 2 + In x

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Q: 2. Identify the type of discontinuity of the function fx* – 2, l1– 2x, -2 2 f(x) = A. Infinite B.…

A: If the left-hand side of the limit is not equal to the right-hand side limit, then the function will…

Q: Find the function g such that fog = In (2x° +7) if f(x) = In x g(x) = %3D

A: Find the function g such that  f(g(x))= ln(2x3+7) and f(x) = ln(x) .

Q: 3. Investigate the existence of local maximum and or minimum point(s) of the function f(x; y) =x -x…

A: Given: f(x, y)=13x3-x+xy2

Q: 1 - X 0 3

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Q: for what value of x does the function f(x) =1/3x3-4x attain the absolute minimum in the interval…

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Q: 4. Which of the following function has an absolute minimum on (-0, +0)? (a) f (x) = 5 – 3x² (b) f(x)…

A:

Q: Consider the function f(x) = 5 – 4x² , – 4 < x < 2. - The absolute maximum value is and this occurs…

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Q: Consider the function f(x) = 4 – 6x², – 4 < x < 2. | - The absolute maximum value is and this occurs…

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Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

A:

Q: 4 3 Find the maximum and minimum values of f(x) = x* + x° – 2 on the interval [- 2, 2].

A: Given that f(x)= x4 + x3 -2 and we find maximum and minimum value in the interval [-2,2]. Here i…

Q: х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) =…

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Q: Vhich of the following points is a local (relative) maximum of the function f(x) = 2x - x %3D 12x +…

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