For each of the following functions: (i) find the function’s domain, (ii) find the function’s range, and (iii) sketch several of its level curves. (How many level curves? At least three for each function; generally, sketch however many is sufficient to get a sense of the shape of the graph of f).

Q: 1. Find the domain and the range of each of the following functions.

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Q: If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = f(x)/g(x). %3D…

A: here f(1)=2,g(1)=1,f(5)=3,g(5)=2 Lets find f'(1),g'(1),f'(5),g'(5): for 0≤x≤2…

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

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Q: If f and g are both even functions, is f + g necessarily even? If both are odd, is their sum…

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Q: If f is a function that has a removable discontinuity at x = 3, which of the following could be the…

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A: Part (a) Given the function

Q: 1. Н: у%3DNx+1 g: y= x| 2.

A: We can draw the graph and find domain and range as below

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Q: When f(x)→±∞ as x→a from the left or the right, x = a is a ________ ________ of the graph of f.

A: Given that when f(x)→±∞ as x→a . We need determine the nature of x as x=a such that f(x)→±∞.

Q: 6) Sketch the graph of the following piecewise function. x 3 x – 4 h(x) = 7 x² – 1

A: Given ,  h(x) = x - 4 ; x &lt; -2 Then ,  h(-3) = -3 - 4 = -7 h(-4) = -4 - 4 = -8 And  h(x) = 7 ; -2…

Q: Sketch the graph and determine the domain and range of the following piecewise-defined functions.…

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Q: Compute the exact value of the function for the given x-value without using a calculator. f(X) 7.5x…

A: To Compute the exact value of the function f(X) 7.5x for x =0

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Q: Find the points of inflection and discuss the concavity of the graph of the function.

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Q: f(x) -1 -3 -1 1 3 2. 3.

A: Function values gives in a table , we have to find when the function takes positive.

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Q: Draw the graph of the following functions and give the domain and range of each.

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Q: Suppose that the graph of f(x) is given below. Which of the following is the smallest?

A: Given that:

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Q: For a function to be odd, which of the following must be correct?

A: A function is odd when  f(-x) = -f(x) for all x

Q: Complete the tables of values, rounded to two decimal places, and sketch a graph of the function.

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Q: for x -1

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Q: If a function is not defined at a, how is this shown on the function’s graph?

A: It is given that a function is not defined at a   Here the graph is not defined at x=-4

Q: Use the graph of the function f to find approximations of the given values

A: The given graph  is,

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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.