Back to Read inverse from graph or table — Problem 4 · Task Set 43

HSF.BF.B.4.c Tutor Intake -- Reading Inverse Values from Graphs and Tables

This short check helps your tutor understand where to start. Answer each
question on your own. If you are not sure, give your best try — every
response helps your tutor plan your sessions.

Grade 9·9 problems·~12 min·Common Core Math - HS Functions·standard·hsf-bf-b-4c

Work through problems with immediate feedback

Procedures

A student is given the following table.

x	f(x)
1	5
2	8
3	5
4	11

Can an inverse function $f^{-1}$ be built from this table?

Yes — every row has a different x-value, so the inverse exists.

No — the output value 5 appears twice, so the function is not one-to-one.

Yes — the table has four rows, which is enough for an inverse.

No — only tables with consecutive integers can have inverses.