Consider a function f whose domain is the interval [a, b]. Show that if |f(x) − f(y)| ≤ (x − y)², for all x, y € [a, b], then f is a constant function.

Q: 2x x - 3. a) Find the domain of the function: [-3, ∞0) (-∞0, 3] (-∞, 3) U (3, 0) (0, -3) U (-3,0) 2.…

A: According to bartleby guidelines we supposed to do the first subparts of multiple subparts kindly…

Q: Let f be a linear function for which f(−4) = −9 and f(4) = 15. Determine f(0).   f(0) =

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Q: 1.) Given the function f(x,y)= 2+y=x² find and sketch the domain of f.

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Q: let f(x)= x2 . Find the value c in the interval (0,3) so that fave = f(c).

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Q: Determine F(x) if, for all real x and y, F(x)F(y) – F(xy) = x + y.   Hint:  What could F(1) be?

A: Consider the provided question, We have to find F(x).

Q: Determine the intervals on which the function f(x)=e√x is convex upward and convex downward.

A: We find f"(x)

Q: Find and provide a sketch of the domain of the function 2 y2 f(r, y) = 9. 4.

A: Given,  f( x,y)=1−x29−y24 To Find: Domain and sketch of the given function.

Q: Graph the piecewise linear function. 2, x ≥ 1 4) f(x) = x + 5, x < 1

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