# Functions: Mapping

Not what you're looking for?

For the functions f defined below, determine which are 1:1, onto or both.

1) f: R onto R, f(x) = |x|

2) f: R onto R, f(x) = x^2 + 3

3) f: R onto R, f(x) = x^3 + 3

4) f: R onto R, f(x) = x(x^2-4)

5) f: R onto R, f(x) = |x| + x

6) f: N onto N, f(x) = x + 1

7) f: N onto NxN, f(x) = (x,x)

8) f: NxN onto N, f(x,y) = 2x + y

9) f: R^2 onto R^2, f(x,y) = (x+y , x-y)

10) f: R^2 onto R^2, f(x,y) = (x+y , x^2-y^2)

##### Purchase this Solution

##### Solution Summary

The mapping of functions is investigated.

##### Solution Preview

1) f: R onto R, f(x) = |x|

No. because f(-x) = f(x)

2) f: R onto R, f(x) = x^2 + 3

No. because f(-x) = f(x)

3) f: R onto R, f(x) = x^3 + 3

Yes, we can never find f(a)=f(b) if a isn't equal b

4) f: R onto R, ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Probability Quiz

Some questions on probability

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.