Evaluate each function for the given domain values. 4)f(x) = x2 +4x - 5 f(x) 2 3. -2 -3

Q: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

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Q: Find f(5) and f(x^2 + 3) for the function f(x) = -x + 2

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Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

Q: If g(2) = 3 and g'(2) = 1 and f(x) = [g(x)]°, find f'(2) %3D

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Q: Describe the domain and range of the function. F(x, y) = 6x2 – y

A: f(x,y) =6x2-y Domain = x,y: x is any real number, y is any real number

Q: Describe the domain and range of the function. f(x, y) = 9x²-y

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Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

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Q: the function. 4) ((x) = fx+3, for x>0 [x², for x ≤0

A: Given above function is  t(x)=x+3, for x>0x2, x≤0 The objective is to graph the curve.

Q: When f(x) = 3, x=

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Q: determine the domain of the function. f (x) = x1/4

A: Given: the function:

Q: Find the domain and range of the function f if  f (x) = - (x + 2) 2

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Q: If f(x) = X-2 %3D -, then f'(1) = %3D ,2 x+4

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Q: Determine the absolute and local extreme values of each function on the given interval. a) y = 7x-4,…

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

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Q: 5. If f(x) = x – 4, find f(-2)

A: Given :                 f(x) = x2 - 4 To find :               f(-2)

Q: Which of the following is equivalent to the function f(x) = 4x² + 12x-6? + 15 x+ +3 x+ - 15 x+ -3

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Q: What value of x makes the discontinuity of the function x2 – 4 f(x) = removable? x2 – x- 6 A -2 В) з…

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Q: F:[- 2, 2]→ R, F(x) = (- 3Xf + 1) di

A: Given: Fx=∫-2x2t-3t2+1dt For finding derivative of given function, we will use fundamental theorem…

Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: For the function to be continuous at all point.f(x) must be continuous at x=5 and,x2-c =…

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

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Q: Find the points on the graph of the function that are closest to the given point f(x) = x2 – 7, (0,…

A: Consider the provided function, fx=x2-7,   0,-5 The distance formula is D=x2-x12-y2-y12 . We can…

Q: If (-3, 1) is in the function f(x), then which of the following points will be in the function f…

A: (-3, 1) is in f(x)  Hence,  f(-3)  =  1    Taking the inverse of f at both sides    f-1 ( f(-3) )  =…

Q: Suppose that f is a linear function with slope 3 and that f(2) = 4. Find the equation for f. (Use x…

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Q: Refer to the function f = {(-2, 4), (-4, 8), (5, 2), (0, 9)}. For what value of x is f(x) = 4?

A: f = {(-2, 4), (-4, 8), (5, 2), (0, 9)} We need to determine For what value of x is f(x) = 4?

Q: Find the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4

A: The second derivative of the function is given by f"(x_=12x-6, f'(2)=4 and f(2)=-4.

Q: The range of the function f(x, y) = 6 - 4 - x2 - y² is (-00, 6] o [4, 0) [4, 6] (-0,4] [6, 00)

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Q: If  f(2)=−3 , determine the value of k in the function  f(x)=−2x^2+kx

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Q: The functionh is defined as follows. x²-4x-32 h (x) = 2-4 Find h (-3). Simplify your answer as much…

A: Answer is -2.2 Explanation is given below

Q: Evaluate the piecewise function at the given values of the independent variable. 2x +5 if x<0 f(x) =…

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Q: If f(x) = -x2 + 2x, find f(2) - 6. If g(x) = 3x - 2, find g(7) + g(-5)

A: To find the value of a function at a point we substitute the value in the definition of the…

Q: Find the domain of the function. f (x) = /-x+8

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Q: Evaluate the piecewise function at the given value of the independent variable. (2x +5 ifx <-2 f(x)…

A: Determine   f(–6) Here  –6 &lt; –2  so we taking the function f(x) = 2x + 5 because in this function…

Q: Find the relative extreme values of the function f(x) = - - 6x + 5.

A: Calculate f'(x) and f''(x) for f(x)=x33-x22-6x+5 as follows.…

Q: Evaluate the piecewise function at the given values of the independent variable. x+5 if x2 - 5 g(x)…

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Q: Consider the function f(1, 9) = 2r-4x- ry +2y-3.

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Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

Q: 2. Write the absolute value function as a piecewise function: f (x) =2|1-x|+ 3

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Q: if x 6 a) Find f(-4), f(8), f(-2), f(6) b) Find the domain of f(x)

A: Given f(x)=5                             if x&lt;-212x-6                   if -2≤x≤5-2x+10…

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: Neatly graph the function over the interval [-π,2π]. 1. f(t)= csc2t-1

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Q: Find the domain of the function.

A: Given, h(x)=4-x+x2-1

Q: Find the value of f (-2). y y = f(x) 10 8. -10 -8 -6 -4 -2 4. 8 10 -2 -4 -6 -8 -10 6 4.

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Q: Find the value of f(3). y = f(x) 10 8. 2 X. -10 -8 -6 -4 -2 2. 4 10 -2 -4 -6 -8 -10 6 4-

A: given y=f(x) we have to find f(3)

Q: Given the piecewise defined function: 2x - 2 if x 2

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Q: Give the range of the function in interval notation f(x) =2(x+1)2 + 7

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Q: Determine all the points of inflections of the function f (x) ex²-2x²-5x + 8

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Q: Find f+g, f-g, fg and f/g and their domains.  f(x)=2/x , g(x)=4/x+4  Answer should be:

A: we have given f and g  We have to find the value of f+g, f-g, fg,f/g and their domain

Q: 8. A student writes the following for the function f(x) 2 x¯- 8x+8 “ The domain of f(x) is (-∞, -4)…

A: Consider the given function as fx=x-2x2-8x+8

Q: If f'(x) =(2-x²) and f (2)=-4, determine 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.