3. Consider the function f (x) = 2 x + 1 on the interval [2, 6]. (a) Compute the left-endpoint approximation for f (x) on [2, 6] using 4 subintervals. (b) Compute the right-endpoint approximation for f (x) on [2, 6] using 4 subintervals. (c) Compute the midpoint approximation

Q: 3. Find the largest domain (in R2) for the function In(3 + y) 1- x + y f (x, y) :

A: Let's find.

Q: f(0) = sec0 is one-to-one on the interval [O,π] with π/2 removed.

A:

Q: I. Is the function given by g(x)=x²-3x + 2 continuous over the interval (-4, 4)? Why or why not?

A: Function given is- g(x)=x2-3x+2 continuous over the interval (-4,4) . Wee need to determine whether…

Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

A:

Q: (d) Prore that the function f(x) =X is Continous but not unifomly Continous on the intenal

A: Use the  absolun delta definition for uniformly continuous

Q: 3. (a) Prove that the function f : R → R, ƒ(x) = 4x² −14x¹+30x-17, is injective. (b) Find the…

A: The answer to this question is given below.Explanation:

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A: Please check step 2 for the solution.!

Q: Find the absolute maximum of f(x) = x³ – 12x + 1 on the interval [0, 4]. -

A:

Q: f : R --> R is defined by f(x) = 2x+1, A= (0,1)  and B = [ -1,1 ]    find f [A] and f-1[B]

A: