Consider the cases: (1) x = -4 (2) x = –2 (3) x = 0 (4) x = 2 (5) x = 4 Part (a) For each case, state whether or not f is continuous at the given point: (Enter "y" for yes, "n" for no.) (1) (2) (3) (4) (5) Part (b) For each case, determine if f is continuous from the right, or from the left, or neither. (Enter "r", "l", or "n", respectively below. In the case of continuity at a point from both sides, enter "b".) (1) (2) (3)

Q: Let f : Z+ → Z be the function defined by n – 10 (F(f(n+11)) otherwise if n > 100 f(n) What is the…

A: We will find f(99)

Q: For a function f: A --> B and subsets C and D of A and E and F of B, prove the following: f-1(E -…

A:

Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

Q: let f be the function x²-C for x< 5 flx)=3x+5c for X Z 5

A:

Q: Plot the poles and zeros of the following function: F(s) = 10(s+5)(s+3−j4)(s+3+j4)…

A:

Q: How many functions f: [6] to [4] have f(3)=2?

A: We have to find How many functions f: [6] to [4] have f(3)=2?

Q: Assume that f is a one-to-one function. (a) If f(1) = 8, find f −1(8). (b) If f −1(3) = −9, find…

A:

Q: How many one-to-one functions f:[4] to [6] have 5 not in the rng(f)?

A: