Evaluating Functions Puzzles - Opened Upward Optic Style

After making this activity to do classifying relations equally a business office or non a function, I was eager to brand a similar action to do a unlike skill. I settled on creating a do action for evaluating functions too amend agreement business office notation.

I wanted to brand this action utilisation the same integer cards (-4 to +4) that the previous action used to salvage me fourth dimension cutting too laminating.

I grabbed a notepad, wrote a few functions, too fiddled approximately amongst the numbers until they worked.

This is what I came upwards with:

Place the integers betwixt -4 and +4, inclusive, inwards the missing boxes to brand each business office evaluate properly. Each release may entirely hold upwards used once.

I printed off the puzzle too gave it to my husband/lovely beta tester to laissez passer on it a shot. After trying what felt similar a zillion combinations, he came upwards amongst a solution. I took a expression at it too realized it was a slightly unlike solution than I had inwards hear when I originally created the problem. For i of the functions, he used the same 3 integers I had; however, he had the integers placed inwards unlike locations inside the puzzle.

We discussed the work too decided nosotros didn't know how long our students would stick amongst it. The overall sentiment was good, but it seemed similar at that spot was simply besides much guessing too checking needed. The presence of a foursquare root symbol did hateful at that spot could entirely hold upwards a 0, 1, or iv inwards that slot. But at that spot were no other similar clues throughout the puzzle.

I dropped the sentiment for a few days until picking it dorsum upwards today. I stared at the puzzle for a acre earlier deciding mayhap it would hold upwards to a greater extent than logically solve-able if I provided the solver amongst some of the input too output values.

This led to a unlike version. My functions were longer too to a greater extent than complex, too thence I had to alter the newspaper orientation. That was annoying.

Instructions:

Place the integers betwixt -4 and +4, inclusive, inwards the missing boxes to brand each business office evaluate properly. Each release may entirely hold upwards used once.

My married adult man constitute a solution to this puzzle inwards nearly v minutes. Given that he's i of the mathiest people I know, I'm expecting it would accept students at to the lowest degree xv minutes to solve the puzzle.

One exciting affair was that the solution I intended when making the puzzle too the solution Shaun came upwards amongst were totally different! For i of the functions, nosotros used the same 3 integers, but nosotros placed them inwards unlike places. For the other 2 functions, nosotros used completely unlike sets of integers to solve each. This makes me wonder if at that spot are fifty-fifty to a greater extent than solutions to this puzzle?

I'm non equally thrilled amongst these equally I am amongst the function/not a business office puzzle. I simply experience similar these puzzles are missing something that I can't seat my finger on.

If you're interested inwards using either of these puzzles inwards your classroom or trying them yourself, I've uploaded them here equally editable Publisher files too non-editable PDF files.

Each file comes amongst a puzzle canvas too a canvas of integer squares to cutting out.