Question

Determine if the following is always, sometimes, or never true.
y = -1/5 x + 3 is a function.

Answer 1

What are the criteria for each condition?

Answer 2

?

Answer 3

Is there an example of something like that which is ALWAYS true?

Answer 4

no just that

Answer 5

Not with the problem statement, but generally. Somewhere in your discussions or materials, you must have discussed these three things. Otherwise, there is no reasonable expectation that you would be able to classify them.

3 = 3 -- That's always true.
7 = 45 -- That's never true.
\(\sqrt{x} = -5\) -- That's never true in the Real Numbers.

Answer 6

So then sometimes true

Answer 7

If you pick a value for x, you can always find a corresponding value for y. ANY old x and y will not do. A specific pair will do. This is "sometimes true".

Answer 8

Thank you