Let f(x) = 7x. Compute f(3 + h). %3D (Use symbolic notation and fractions where needed.) f(3 + h) = f(3+h)-f(3) Compute (Use symbolic notation and fractions where needed.) f(3 + h) - f(3) %3D Compute f' (3) by taking the limit as h → 0. (Give your answer as a whole or exact number.) f'(3) = Question Source: Rogawski 4e Calculus Early Transcendentals | Publisher: W.H. Freet

Q: if x 2 .2 x-4

A: We will choose the function according to limit.

Q: For the piecewise function, find the specified function values. 2) for x 4 a) h(-10) b) h(0) c) h(6)

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Q: 13

A: Given query is to find basic function and then transformed function.

Q: 7x5 - x3 + 2x - 5 7. lim x→-o 9x6 – 2x2 + 10

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Q: For the following function:{x^3 if − 2 ≤ x < 1{3x + 2 if 1 ≤ x ≤ 4find f(−1), f(0), f(1) and…

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Q: For the function  below, determine the open intervals where it is decreasing. f(x)=(x+4)^2/3 Group…

A: The objective of this question is to find the intervals where the function f(x) = (x+4)^2/3 is…

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Q: B1(a): Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 6x – k x < 4 f(x) =…

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Q: Given y = f(x) = |x - 2| + |1 − 2x|-|1 - x. Write y as a piecewise function by showing your work for…

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Q: . For each of the following functions f. find its domain. 2. (b) f(x) = (a) f(x) = x - 5 5x+ 6 (c)…

A: We have to find the domain of the given function.

Q: 9) Evaluate the piecewise function for x = -1 and x = 4. 2x + 1 if x 2 h(-1) = h(4) =

A: To evaluate the piecewise function for x=-1 and x=4.hx=2x+1  if x≤2x2-4  if x&gt;2h-1=?h4=?

Q: Give that f(x) = x- 4 and g(x) x +3 2. find each of the following: x+ 2 X - 4' a. Find the value of…

A: follow next step

Q: 2x -5x+3 2. Given h(x) = x? +x-2 At what value of x does the function have an infinite…

A: Topic = Functions As per guidelines , At  a time only three sub-parts can be answered.   1) An…

Q: Find the f(x) = 4x + 1, g(x) = 6x - 2 (a) (f + g)(x) = (b) (f- g)(x) = (c) (fg)(x) = (d) (f/g)(x)…

A: Given f(x)=4x+1   and g(x)=6x-2

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.