Math

QuestionCheck if the pairs (2,5)(-2,5), (1,8)(-1,8), (0,6)(0,6), (1,6)(1,6), (2,7)(2,7) define yy as a function of xx.

Studdy Solution

STEP 1

Assumptions1. The ordered pairs given are (,5)(-,5), (1,8)(-1,8), (0,6)(0,6), (1,6)(1,6), (,7)(,7). . We need to determine whether the relation represents yy as a function of xx.

STEP 2

A relation represents yy as a function of xx if and only if for each xx value, there is exactly one corresponding yy value. In other words, no two different pairs in the relation should have the same first element.

STEP 3

Let's check each pair in the relation to see if any xx values are repeated.
The xx values in the given pairs are 2-2, 1-1, 00, 11, and 22.

STEP 4

We see that all the xx values are distinct, i.e., no xx value is repeated.

STEP 5

Since no xx value is repeated, we can conclude that the relation represents yy as a function of xx.
The relation does represent yy as a function of xx.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord