Grade 11 · Math · Algebra 2

11th grade Inverse functions from tables and graphs worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Inverse functions from tables and graphs

Grade 11 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Kira's worksheet shows the graph of f. The inverse undoes f. What is f⁻¹(-3)?
In a notebook, Luz reads the graph of f backward, from an output to its input. What is f⁻¹(-4)?
Milo traces the graph of f in pencil. What is f⁻¹(-1)?
On a puzzle card, Noah has the graph of f. What is f⁻¹(-2)?
5.
Pia's worksheet shows the graph of f(x) = x² − 4. Does f have an inverse function?
- No: the line y = 5 crosses the graph at x = -3 and x = 3.
- No: the graph is not a straight line.
- Yes: every vertical line crosses the graph at most once, so it is a function.
6.
Tala draws the graph of f(x) = |x − 2| in pencil. Is there an inverse function for f?
- Yes: every vertical line crosses the graph at most once, so f is a function.
- No: the line y = 3 crosses the graph at x = -1 and x = 5.
- No: the graph is not a straight line.
7.
On a puzzle card, Zee sees the graph of f(x) = 2ˣ. Does f have an inverse function?
- Yes: every horizontal line crosses the graph at most once.
- No: the graph is not a straight line.
- No: the graph crosses the y-axis.
On a worksheet, f(x) = 3x − 2. Ari wants the input that gives the output 10. What is f⁻¹(10)?
In a notebook, Bo has f(x) = 4x + 5 and undoes it. What is f⁻¹(29)?
On a puzzle card, f(x) = 5x − 8. Jun needs f⁻¹(22). What is it?

Inverse functions from tables and graphs. Every version has 10 questions, and the answer key prints on the second page.

Standard: F-BF.B.4c (+)

inverse f⁻¹: The function that undoes f: it swaps inputs and outputs.

f⁻¹(5): The input of f whose output is 5. Not 1 over f.

one-to-one: No output comes from two different inputs.

horizontal line test: No sideways line crosses the graph twice, so f has an inverse.

the line y = x: The mirror line between a graph and its inverse.

Your child worked out f of the number instead of f⁻¹. f⁻¹(5) asks which input gives the output 5.

Your child read f⁻¹ as 1 over f. The small -1 means "undo f", not a reciprocal.

Your child flipped the point over the x-axis instead of over the line y = x.

Ask: is 5 an input or an output here?

Ask: which input of f gives this output?

Ask: what happens to the two numbers when you mirror over y = x?

What is the most common mistake with inverse functions from tables and graphs?

Your child worked out f of the number instead of f⁻¹. f⁻¹(5) asks which input gives the output 5.

How can I help my child with inverse functions from tables and graphs?

Ask: is 5 an input or an output here?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records