Trying to study for my exam and would like to see how u would solve functions so plz
1.Let A = {1; 2; 3; 4} and B = {a; b; c}. Give an example of a function f:A →Bthat is neither one to one nor onto.
2. Determine ifthe function f:ℝ - {0} →ℝdefined as f(x) =1/x+ 1 is one to one and onto.
3. Determine ifthe function f : ℝ- {2} →ℝ - {5} defined by f(x) =5x + 1/x - 2is invertible. If it is define the inverse function f^-1.
4. Determine ifthe function f:ℝ- {1} → ℝdefined by f(x) =(x + 1/x – 1)^3is one to one .
5. Determine ifthe function f: ℤ→ℤdefined as f(x) = 3 (-1)^x is one to one.
6. Determine if the function f:{0, 1} →ℤdefined as f(x) = 3 -1)^x is one to one.
Re: Trying to study for my exam and would like to see how u would solve functions so
Quote:
Originally Posted by
math333
1.Let A = {1; 2; 3; 4} and B = {a; b; c}. Give an example of a function f:A →Bthat is neither one to one nor onto.
2. Determine ifthe function f:ℝ - {0} →ℝdefined as f(x) =1/x+ 1 is one to one and onto.
3. Determine ifthe function f : ℝ- {2} →ℝ - {5} defined by f(x) =5x + 1/x - 2is invertible. If it is define the inverse function f^-1.
4. Determine ifthe function f:ℝ- {1} → ℝdefined by f(x) =(x + 1/x – 1)^3is one to one .
5. Determine ifthe function f: ℤ→ℤdefined as f(x) = 3 (-1)^x is one to one.
6. Determine if the function f:{0, 1} →ℤdefined as f(x) = 3 -1)^x is one to one.
That is too many questions for one thread.
You have simply listed the question.
You have shown no effort whatsoever.
This not a homework service nor is it a tutorial service.