Give an example of a function whose domain does not include x = -2 or x = 2.

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

Q: Use the graph of the function to identify its domain and its range.

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

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Q: -10-8 6 4 2 2 4 6 8 10 2 4 6 8 10 X

A:

Q: 7) Give an example of an equation for a single function whose domain contains 2, whose domain does…

A: Represent the required function as f(x). Observe carefully, the assumed domain and range for the…

Q: Graph the piecewise function defined by

A:

Q: 2. what is the domain of the function)

A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,

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

A: The given function is f(x)=-3log x

Q: Select the statement which is true about the function.

A: graph is symmetric about y axis area and shape both side of y axis is same answer is function has…

Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p=-1/5…

A:

Q: Suppose that P(x) represents the percentage of income spent on health care in year x and I(x)…

A: Given :- P(x) percentage of the income spent on health care in year x and I(x) income in year x.

Q: escribe the end behavior of the graph of the function  a) f(x)= -4(8)^x -3 as x-->negative…

A: Given function  f(x)=-48x-3

Q: Without graphing, describe the end behavior of the graph of the function. Ax) = 1- 2x - x As x → 00,…

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Q: Is the point (1, -2) on the graph of the function k(x) = x2 + (2&gt;x)?

A: Given, k(x) = x2 + (2/x) To check Is the point (1, -2) on the graph of the function

Q: Sketch a graph of the piecewise defined function.

A: f(x)=1-xif x&lt;-25if x≥-2

Q: 18. Explain in your own words why the horizontal line testdetermines whether a function is…

A: A function is said to be one-to-one if each domain value is mapped to exactly one element in range…

Q: Determine the end behavior of the graph of the function. n(x) = -5(x+1)(3x-1)°(x+6) As x-- 00, n (x)…

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Q: Sketch the graph of piece-wise defined function 5x + 3, x -3

A:

Q: Explain why if a horizontal line intersects the graph of a function in more than one point, then the…

A: Given:  why if a horizontal line intersects the graph of a function in more than one point, then the…

Q: Differentiate each function sheet of paper. 1. y = (4x -- 10) A. 16(4x- 10)? B. 16(4x - 10)3

A: 1. Given function is  y=4x-104. To differentiate the function using chain rule. Solution: Chain rule…

Q: -4 -6 -2 4 -6

A: To find the interval where the function is positive first we  choose  some points in the given…

Q: x 3.

A:

Q: how to graph the function f (x) (x-4)(x-3)²(x+4)² (x+2)(x+5)²(x-3)

A: Given f(x)=(x-4)(x-3)2(x+4)2(x+2)(x+5)2(x-3)

Q: What is the domain of this function?

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Q: Find the domain of the function. (interval notation)

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Q: 6+ Write the domain of the function using interval notation.

A: Domain:- All possible value of x

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: Find the piecewise function from graph. 4 3 -4 -3-2 -1 1 2 3 4 1+ 2+ 3

A: From the given graph the first piece is between -4≤x≤-1. That is a linear function ( a line) passing…

Q: 3. Sketch the graph of the function: ーX if x<-2 fめ12 fx) if-2<x< 2 X-1 if 2ļ x

A:

Q: Find the domain of the function. f(x) = 20x +3             x-7           (−∞, 7) ∪ (7, ∞)…

A: The first option is the correct option. Consider the function f (x) and the condition for the…

Q: Which set of ordered pairs does not represent a function?

A: Given data: A relation is said to be a function when the single value of x in set A  gives the…

Q: Determine the end behavior of the graph of the function. 1 f (x) = -x°- 2x* -x° +7 As x - -00, f (x)…

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Q: Find all points of intersection between the graphs of the functions. 5 =x+y 7 =x +y

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Q: How can we represent a function ?

A: Function is the relation in which each element of the domain is related with exactly one element in…

Q: Sketch the graph of the function with the given rule. if x < 3 5- x 3x - 7 if x 2 3 y

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Q: What is the end behavior of the function as x approaches negative infinity and positive infinity

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Q: If (4,y) is an ordered pair of the function,then y =

A: We have to find y, if If (4, y) is an ordered pair of the function.

Q: Sketch a graph of the piecewise defined function.

A: Solution:Givenf(x)=0if x≤23if x&gt;2To sketch the graph of the given function

Q: 14, Determine the domain and range of the following function. y -3 3 -2

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Q: Explain the difference between a relation and a function

A: A relation is a set of inputs and outputs that are related in some way.

Q: How can a function be described in pieces?

A: A function can be described in pieces with different formula in different intervals of its domain.

Q: 7, find out whether the following functions are analytic 24. y - ix x² + y²

A:

Q: use example 3.18 to contrust a table that describes the function H

A: To form the table, first take all the pairs in ℤ5×ℤ5. The following table gives the set of all…

Q: Sketch the graph of the function. (4+x, x≤2 x² + 2, x > 2 f(x) = -10 -5 10 5 5 -10 5 10 X - 10 -5…

A: see below the sketch of the given function Option(C) i.e., graph in the left bottom is correct.

Q: Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

A: Solve the following

Q: Construct a function that is undefined at points 2,3 and π

A: We have to write a function fx which is not defined at the points x=2, x=3 and x=π. We know that a…

Q: Explain in your own words what a function is. How is a function different from a relation?

A: A function is a relation between two sets that associates to each element of the first set exactly…

Q: 7. Explain how the vertical line test proves that a relation is not a function.

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Q: Give the range of the function in interval notation. F (x) =-3(x+4)2 -5

A: The given function is, F(x) =-3(x+4)2 -5 The graph of F(x) is as shown below :

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.