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)

Q: x3-3 3. Find lim f(x), . f(x) = %3D 3x3

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Q: Give the equation(s) for a single function, f(x), that satisfies all of the following: lim f(x) =1…

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Q: Write a brief description of the meaning of the notation lim x8 f (x) = 25.…

A: the explanation is based on the fact that on the very definition of limit in saying that purpose of…

Q: Explain the meaning of the following expression and illustrate with a sketch. limx->a-   f(x)= L

A: limx->a-   f(x)= L Where x is going or tending to a from the left side

Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: f(7+h) – f(7) lim h>0 h here f(x) = 7r +4. If the limit does not exist enter DNE.

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Q: Write the domain of the function f(x) = arcsin(æ), using interval notation, in the space below.

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 5 3 2 1 -1 Find f(2) -2 -3 -4 -5 Find lim f(x)…

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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: (a) lim f(x) x→-∞ (b) lim f(x) x→-2 (c) lim f(x) x→2- (d) lim f(x) x→2+

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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: