Domain of this log question.

"Please refer on the attached file".

(a) How is the logarithmic function defined?

(b) What is the domain of this function?

(c) What is the range of this function?

(d) Sketch the general shape of the graph of the function  if .

Let E = {1, 2, 3} and F = {–2, -1,0} and define a relation T from  E to F as follows: For all (x, y) ∈  E × F, (x, y) ∈ T means that ( x - y)/3 is an integer. 

Question
A. Is 3 T 0?, Is 1T( –1)?, Is (2, –1) ∈T?,        Is (3, –2) ∈T?

b. Write T as a set of ordered pairs.

c. Write the domain and co-domain of T.​

Let X {a,b,c} and Y = {1,2,3,4}. Which of the relations A,B,C define below are functions from X to Y? 

Question
1.) A={a,1} , {b,2} , {c,3}

2.) For all (x, y)€ X×Y, (x, y) € B means that X is a vowel and Y is even.

3. (14 pts) The graph of a function f is given in the figure below. 2 -1 - - - - (a) Use the graph of f to answer the following questions. i. Find the domain off. Write your answer in interval notation. ii. Find the domain of f-1. Write your answer in interval notation. (b) Find the value or write "not defined". i. f-'(-2) ii. f(f-(4) (c) Sketch the graph of f-l in the figure above.