I. Find the Domain and Range. f(x) = ((1,2), (2,3), (4,5), (6,7) 1. 2. f(x) = {(-1,2), (-2,3), (-4,5), (-6,7)}

Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: What is the value of g(x) when x = 3 in the piecewise function, g(x) = x2 + 1 if x > 3 and g(x) =…

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Q: For what value of x does the function f(x) =x³ – - 4x attain the absolute maximum in the interval…

A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

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

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Q: 25. If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a),

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Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: x + 3 f(x) : x2 - 3x - 18 :--Select-- -Select---

A:

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

A:

Q: Find the value of the constant k that makes the function continuous. 2x2 - 4x - 16 if x #4 g(x) = х-…

A: Solving by continuous definition we have

Q: (2) Find the Difference Quotient of f (x) 3 -

A: The Formula of difference quotient of a function fx can be defined as, fx+h-fxh First calculate fx+h…

Q: 5. If f(x) = x – 4, find f(-2)

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

Q: 2) Find all points of inflection in the function f (x) = x 3 + 3x2 – 24x + 12.

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Q: What is the range of the function y=3x+1y=3x+1 for the domain 2≤x≤6?

A: Given functiony=3x+1We have to find range of the for the domain 2≤x≤6

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

A: In a graph y=f(x) , the value of f(m) is the value of y-coordinate at x=m

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

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Q: Suppose that f is a linear function such that f(3)=5. If the slope of f is 2.9 then what is f(5)?

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Q: What is the range of f(x)=1/(x^2)-2

A: Our Aim is to find the range of f(x)=1x2-2-(i)

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

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Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: The functionf(x)=5x−1 f ( x ) = 5 x - 1 is shown on the coordinate plane. Which statement is true?

A: A limit in which f(x) increases or decreases without bound as the value of x approaches an arbitrary…

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Find the extreme values of f (x) = 2x3 − 9x2 + 12x on [0, 3] and [0, 2].

A: To find the extreme values of fx=2x3-9x2+12x on 0,3 and 0,2. Solution: For finding the extreme value…

Q: Find the interval in which the function given by y = 4x3 - 6x2 – 72x + 30 is decreasing. O A. (-…

A: Given that the function is      y = f(x) = 4x3-6x2-72x+30 Here we have to find the interval in which…

Q: Find the value of the constant k that makes the function continuous. 2x - 2x - 12 if x 3 g(x) = X- 3…

A: For function to be continuous

Q: Find the value of f(5). y = f(x) 10 8. -10 -8 -6 -4 -2 2 4 10 -2 -4 -6 -8 -10 6. 6. 4.

A: The graph is shown And the function f(x) is shown

Q: Evaluate the piecewise function at the given value of the independent variable. 13) f(x) = -3x-1…

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Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx…

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Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

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Q: Create a table for the range. Use the domain (x)={-2,-1,0,1,2} 1)f(x) = 5x+1 2) f(x)=x^2+1…

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Q: What is the range of  f(x)= -x2+2x-4

A: Use the online graphing calculator and draw the graph of the function as shown below.

Q: Find and sketch the domain of f(x, y) = 9-x²-y² /y²-1 What is the range of f ?

A: Find the attachment

Q: If f(z) = 19z+ 24, find f'(-3).

A: Here, the given function is: f(x)=19x+24

Q: 1. If f(x) = 2x – x² and g(x) = |x – 3|, find the value of f(-2) + g(-2)

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

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Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.

Q: x + 2 f(x) = x2 - 2x - 8 : ---Select-- ---Select--

A: Given query is to find the value of x where function is discontinuous.

Q: Find the all extreme points of f(x) = x³ – 6x2 + 9x – 3 is or [-2, 2] ? |

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Q: find the range of f(x)=x−4/x2−16

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Q: 9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)

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Q: If we restrict the domain of f(x)=x²+5 to (-2, 1), then the range of f(x) is?

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Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

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Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Find the point(s) of inflection of the function:  f(x) = 3x5-10x4+7

A: Answer and explanation is given below..

Q: For what value of X does the function f(x) = X3 - 3X2 attain the absolute maximum in the interval…

A: topic - absolute maximum of a function

Q: a) Determine the domain and range of the function z = 4 - V9 - (x² + y?).

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Q: What is the range of g(x)( 1/2)^x - 4

A: Topic:- algebra

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

A: From given graph it is clear that

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.

A:

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.