Maths

Question 1

One-to-one functions are otherwise called as…

Answer 1

Injective functions

Question 2

How to find if function is one to one?

Answer 2

Equate f(x1) = f(x2) then solve if you get x1 = x2 then it is one-to-one

Question 3

Many-to-one functions are otherwise called as…

Answer 3

Non-Injective functions

Question 4

How to find if function is many to one?

Answer 4

Equate f(x1) = f(x2) then solve if you get x1 ≠ x2 then it is one-to-one

Question 5

Onto-functions are otherwise called as…

Answer 5

Surjective functions

Question 6

What is the criteria for a function to be onto?

Answer 6

range = codomain

Question 7

Into-functions are otherwise called as…

Answer 7

Non-Surjective Functions

Question 8

What is the criteria for a function to be into?

Answer 8

range is a proper subset of codomain

Question 9

If the derivative of a function is always positive/always negative, then the function is…

Answer 9

one-to-one

NOTE: If function is not defined at some point, please DON’T apply this method

Question 10

If the derivative of a function is sometime positive/sometimes negative, then the function is…

Answer 10

many-to-one

NOTE: If function is not defined at some point, please DON’T apply this method

Question 11

What are natural numbers?

Answer 11

All positive integers

Question 12

What are real numbers?

Answer 12

Every number that exists both rational and irrational

Question 13

What is the maximum and minimum value for the function asinx + bcosx

Answer 13

Max. Value: √a^2 + b^2
Min. Value: √a^2 + b^2

Question 14

What does an invertible function mean?

Answer 14

One-to-one and onto

Question 15

In Cramer’s Rule what does non-trivial solution mean?

Answer 15

Determinant = 0

Question 16

In Cramer’s Rule what does trivial solution mean?

Answer 16

Determinant ≠ 0