For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) yA 4 2. 4 (a) lim f(x) X-1 (b) lim f(x) lim f(x) (c) x→3+ (d) lim f(x) X-3 (e) f(3)

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A:

Q: help with a breakdown for each step.

A: a)  1b) -1c)  does not existd)  does not exist Explanation:Thank you 😊

Q: 2x 1 if x 2 . Sketch the graph of f(x) = x 4. a) lim f(x) X-2 b) lim f(x) x-2+ c) lim f(x) X-2

A:

Q: Sin Q5: Find lim,¬6 x-3

A: Given:         limx→6sinπxx−3

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A:

Q: Explain the meaning of each of the following. (a) lim f(x) = 00 (b) lim f(x) =

A: given,      a.  limx→-3fx=∞b.  limx→4+fx=-∞

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

A:

Q: Va-2x Let f(x) = Find lim f(x)? x+1 +x-

A: Given function :

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A: Consider the graph of  given below

Q: The graph below is the function f(x) 5+ 4 03 2 04 -5 -4 -3 -2 -2 -2 را برا ما ان -3 -4 -5- 1 Find…

A: The given problem is from calculus. We have to use this graph to solve the problem.

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: