(2 + h)6 – 64 lim | = f'(a) h→0 h

Q: Let A = {10, 11, 12, 13}. Let f: A Rbe a function defined below. Which of the following functions is…

A:

Q: Let A = {a, b, c, d} and f = { (a, 0), (c, 12), (d, 18), (b, 12) }. Is f a function from A to B ?…

A: Given, A = {a,b,c,d} f = {(a,0) , (c,12) , (d,18) , (b,12)}

Q: (a) Give an example of two functions f: A→B and g: B-C such that f is both 1-1 and onto but gof is…

A: (a)let's define sets 𝐴, 𝐵, and 𝐶 as follows:Let 𝐴={1,2}Let 𝐵={3,4}Let 𝐶={5}Now, let's define…

Q: Use the graphs of f and g (see attached) to evaluate the composite function : (g ∘ f)(0)

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Q: Say whether the following function is injective, surjective, bijective, or none of the above (note:…

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Q: Let f be the function {(1,4), (2, 1), (3, 3), (4, 2)} and g be the function {(1,3), (2, 4), (3, 2),…

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Q: Which one of the following functions satisfies the hypotheses of Rolle's Theorem in the interval…

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Q: Let f be the function {(1,4),(2,1),(3,3),(4,2)} and g be the function…

A: Composition of Functions: If and , then the composition of f and g dented by is defined by Note…

Q: What is a 1–1 function? A function f is a 1–1 function if, for any a and b in the range of f, f(a) =…

A: Given:[1]. A function f is a 1–1 function if, for any a and b in the range of f, f(a) = f(b) implies…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: