Evaluate the piecewise function at the given values of the independent variable. x+5 if x2 - 5 g(x) = - (x + 5) if x < - 5 (a) g(0) (b) g(- 7) (c) g(1)

Q: Using the intermediate value theorem, show that the function f had a zero between a and b…

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Q: Consider the function f(x) = 7(x-3)^2/3.

A: Given  fx=7x-323

Q: Find the domain of the function f(x) = 3x- 5z - 4 Use interval notation to express your answer.…

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Q: ALUATE THE FUNCTION, if g(x² - 3); evaluate g(x) = 3-x/3+x

A: We have g(x)=3-x3+x to evaluate gx2-3

Q: a) Find the intervals at which the function is increasing or decreasing. x2 f(x) = 16 – x2

A: f(x) = x²/(16 - x²) So, f'(x) = [(16 - x²)•2x - x²•(-2x)]/(16 - x²)²  So, f'(x) = 32x/(16 - x²)²…

Q: 7. Graph the piecewise function: x<3 f(x)={ 1 3<x x- 3

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Q: Find the maximum value of the function f defined by f(x)= 5+3x- 2x^2.

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Q: Find the domain of the function f(x)=14x+9f(x)=14x+9. What is the only value of x not in the domain?…

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Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

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Q: f(x) = xe-x²/128 [-2, 16]

A: Let's find.

Q: Consider the function f(x) = 2x3 + 15x2 - 144x + 9,       -8 </= x </= 4. Find the absolute minimum…

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Q: Find the maximum or minimum value of the function. f(x) = 1 + 3x - x2 maximum value O minimum value

A: The function is given by fx = 1+3x-x2 To evaluate: The maximum or the the minimum value of the…

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: Find the (implied) domain of the function. (Enter your answer using interval notation.) f(x) = x4 −…

A: The domain of f(x) is

Q: Find the domain of the function using interval notation f(x) = -2x(x-1) (x-8)

A: The given function fx=-2xx-1x-8 we have to find the Domain of the function. Domain:     Domain of…

Q: Use the functions f(x) = x − 3 and g(x) = x³ to find the value or function. (g-¹ of ¹)(-3) (g-¹ of…

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Q: 2. f(x) = 3[ x]

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Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

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Q: 5. Find all points of inflection of the function g(x) = x²e¬x.

A: using double derivative

Q: f(x) = 2x + 7 and g(x) = x³ + x + 13 what type of function is (f + g)(x) ?

A: Given: f(x) = 2x + 7 and g(x) = x³ + x + 13 Our task: (f + g)(x) ?

Q: Let h(x)=f(x)+g(x). If f(x)=2x2 and g(x)=8x5, what is h′(x)? Do not include "h′(x)=" in your answer.…

A: We have been given h(x) = f(x)+g(x) and f(x) = 2x^2 and g(x) = 8x^5So we can first write a function…

Q: Calculate the value of f(-3) for the function f(x) = 3x^2

A: In order to find the value of a function f(x) at a point x=a, we just replace a at the place of x…

Q: Vx-2 +2 x2 - 9 What is the domain of the function f(x)=

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Q: Find the domain of the function. 9. if x=2 f(x) = x2 if 1<x< 2 The domain is (Type your answer in…

A: Domain

Q: x6 (x) 12

A: Given:  Given that a piecewise function fx=x,  x&lt;-2x2-4, -2≤x&lt;412,  4&lt;x&lt;68,  x=6-x+10,…

Q: Evaluate the function: f(x) = x²-4x+3; x= -3

A: Given function is fx=x2-4x+3 Put x=-3 in given function. f-3=-32-4·-3+3=9+12+3=24

Q: Example: find the extreme values of the function f(x, y) = xy – x² -y² – 2x – 2y + 4

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Q: x - 7 If f(x) = Vx – 3 and g(x) find the domain x - 4 of

A: Given: f(x)=x-3 and g(x)=x-7x-4 To find: Domain of fgx.

Q: 2x4 -Vx+x 7xcsc² x+1 Find all functions g such that g'(x)=4sinx+

A: g'x=4sinx+2x4-x+xx-7xcsc2x+1x

Q: (-3x +6 x1 x-5

A: First consider,f(x) = -3x+6; x &lt; 0Now,

Q: x2-5x-14 5. Graph function of f (x) = X-4

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Q: The function f(x) = 2x – 33x2 + 144x +7 has one local minimum and one local maximum. This function…

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Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

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Q: Find the maximum or minimum value of the function. f(x) = 1 + 3x - x2 %3D maximum value O minimum…

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Q: -k/complete-a-table-and-graph-a-linear-function f(x) = 4x + 2 f(x)

A: f(x)=4x+2 at x=0 f(0)=4x0+2=0+2=2 f(1)=4x1+2=4+2=6 f(2)=4x2+2=8+2=10

Q: The function f(x)=-3x+4 is an even function. Select one: True False

A: to check whether the given function is even or odd f(x) = -3x +4

Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x - 5.

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Q: Find the domain of the function. 8 f(x) =- X-14

A: Our Aim is to find domain of f(x)=8/(x-14).

Q: The function f(x) – 2x° + 27x² – 84x + 4 has one local minimum and one local maximum. || This…

A: Maxima and Minima Question

Q: Find the maximum or minimum value of the function. f(x) + 2x +3 maximum value minimum value

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Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

Q: f(x) = -5-8 g(x) = -3x² - 6x - 2 Find: f(x) g(x)

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Q: x6 (x) 12

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the value for the function; Find f(-4) when f(x) = x^2 - 3x + 5

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Q: 36-x f(x) = 35 - x -x+1 what The domain of the function

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Q: Use the functions f(x) =x - 3 and g(x) = x to find the value or function. (g-1 of-1)(-3) (g-1…

A: The given functions are: f(x)=x8-3     and    g(x)=x3

Q: Graph the piecewise function f(x) = 4, for x ≤ -2 x+1, for -2<x<3, -x, for x ≥ 3

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Q: Find the function P(x) of a company selling x items is given by P(x)=x3+9x2-15x-13 where x…

A: Given problem is : Find the function P(x) of a company selling x items is given by…

Q: f(x)=x^2-3x+9 g(x)=3x^3+2x^2-4x-9 find the (f-g)(x)

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