Friday

March 27, 2015

March 27, 2015

Posted by **Samantha Joseph** on Tuesday, November 30, 2010 at 8:58am.

The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c.

a. f(x) = x + 3

b. f(x) = 73 if x>2 otherwise f(x) = -1

c. f(x) = 79if x>0 or f(x) = -9 if x<0 or f(x) = 9 or -9 if x = 0

- Mat101 -
**MathMate**, Tuesday, November 30, 2010 at 9:09amTo determine if a relation is a function, ask one very important question:

does the relation satisfy the one-to-one condition? That is to say does the relation maps to two values in the codomain (range) from one value in the domain?

Examples:

f(x)=sqrt(x) is not a function because sqrt(x) results in two values.

f(x)=any polynomial with real (i.e. not complex) coefficients is a function, because polynomials satisfy the ono-to-one requirement.

Now can you pick out the functions from the above list, and state why the other(s) is not?

**Answer this Question**

**Related Questions**

MAT 101 - 5. Which of the following are functions? The last two problems, i.e., ...

Algebra - Right now we are learning about functions, relations, etc. and I am ...

math - Do relations that are functions always have symmetry? Explain your answer...

pre calc - Find two functions defined implicitly by the given relations: (a) 3x...

discrete math ..please help - . Let A = {1,2,3,4}. Prove the statements (a) and...

math..please help - Let A = {1,2,3,4}. Prove the statements (a) and (b). You ...

advanced functions/precalculus - 1. The function f(x) = (2x + 3)^7 is the ...

social studies - Although the Chesapeake and New England colonies differed in ...

pre calculus - consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(...

College Algebra! help! - Consider the following functions f(x)= (7x+8)/(x+3) and...