Math  /  Algebra

QuestionFor each relation, decide whether or not it is a function.
Relation 1
Range Function Not a function

Studdy Solution

STEP 1

What is this asking? Is this thing a function or not, basically, can one input have multiple outputs? Watch out! Don't mix up domain and range!
The question is, does any element in the domain point to *more than one* element in the range?

STEP 2

1. Check the mappings.

STEP 3

hh goes to 2\bf{2}.
Okay, so far so good!
One input, one output.

STEP 4

kk goes to 2\bf{2}.
Still good!
It's fine if *different* inputs go to the *same* output.

STEP 5

ww goes to 0\bf{0}.
Looking great!

STEP 6

aa goes to 0\bf{0}.
Perfect! Each input has *exactly one* output.

STEP 7

It's a **function**!
Every element in the domain maps to exactly one element in the range.

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