-2 -1 4 f(x) 3 4 6. Several ordered pairs for the function f are given in the table above. If lim f(g(x))=4, then lim g(x) = %3D (A) -1 (B) 3 (C) 4 (D) 6

Q: The plot below represents the function f(x) 8 7 76 X= 6 5 4 32 T -5 -4 -3 -2 -1 -1 -2+ Evaluate f(3)…

A:

Q: Graph the piecewise function defined by

A:

Q: Can you sketch a graph of the function h(m)

A:

Q: Let f(x)= x^4 If g(x) is the graph of f(x) shifted right 6 units, write a formula for g(x)

A: We have to write a formula for g(x) when f(x) shifted right 6 units.

Q: For each function f, give O(f) using any of the properties in the last 4 slides. In each case,…

A: We know, f(x) = O(g(x)) if f(x) < cg(x) for some positive integer c, and x > x0 for some x0.…

Q: 3- if x 2 -2 *(x) = —х + 1 2 1- -4 -2 -1 1 2 3 4 -1 -2- -3 2.

A: we have to draw the graph

Q: Square cuts of the same size are cut from a flat rectangular piece of cardboard. The remaining…

A: the figure formed after cutting the square from the rectangle we get

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.