Find the best solutions to your problems with the help of IDNLearn.com's experts. Our experts provide timely and precise responses to help you understand and solve any issue you face.

tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.​
2:
A function F:[-2,2]-->R is defined by f(x)=x² is
F one to one and onto.
3:
A function F:[1,4]-->R is defined by f(x)=x³ is
F one to one and onto​


Sagot :

Answer:

1. f(x) = x² - 1 is an even function.

It has two-to-one relationship since f(-x) = f(x)

The answer is no

2. f(x) = x², same as above, the answer is no

3. The function f(x) = x³ is an odd function and its inverse is:

  • f(x) = ∛x, which is also an odd function

Both have one-to-one and onto relationship

The answer is yes