Consider the function defined by f(x, y) = 4x² + y². (a) Find the domain and range of f. (b) Draw a contour map of f for k -1,0, 1, 2, 3. (c) Using part (b), provide a sketch of the graph of f.

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A: We have to graph the given function.

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A:

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A: Consider a curve symmetric about the x axis.Then the point (x,y) lie on the curve if and only if the…

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A:

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A: Given:

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A: Consider the provided function, fx=xx-1 Find the formula of ffx. We can write as, ffx=f∘fx. So,…

Q: Please differentiate the functions provided in the two images

A: (i) The given function is

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A:

Q: Identify the graphs (a)–(d) (see attached) in which y is a function of x.

A: We have the graph,

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

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A:

Q: 1) Let f(x) be a function with Domain [-6,-2] and  Range [-10,-4]. Find the domain and range of the…

A: Given that for f(x) Domain [-6,-2] and  Range [-10,-4]

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A:

Q: Select all relationships which represent y as a function of x.

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Q: domain and range of f(x,y)

A: Given: f(x,y)=9-x2+y2 -42 To find: Domain and range.

Q: Use the vertical line test to identify graphs in which y is a function of x ?

A: a). Now let us draw a vertical line on the given curve, we get Clearly the vertical line passes…

Q: A relation between x and y is a function when what?

A:

Q: b) given sets of ordered pairs that belongs to a parent function f(x) = {(0, 4), (6, 2), (8,4)}…

A: Let us consider the function y=f(x) The function is transformed to y=af(b(x-h))+k The co-ordinate is…

Q: Use the vertical line test to identify graph (see attached) in which y is a function of x.

A: Given,