Introduction to Functions - Worksheet 7 - 8th Grade

Medium

Understand the definition of a function and function notation (Medium)

18 problems · 15-20 minutes · Skills: functions, domain, range

About This Worksheet

This medium-level worksheet contains 18 problems designed for 8th Grade students practicing introduction to functions. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Functions are the central object of study in all of algebra and beyond. Every equation, graph, and relationship in high school and college mathematics is expressed as a function. Building a clear conceptual understanding here pays dividends throughout a student's entire math education.

  • Define a function as a relation where each input has exactly one output
  • Use function notation f(x) to evaluate and describe functions
  • Identify the domain and range of a function from a table or list
  • Distinguish between relations that are functions and those that are not
  • Represent a function using multiple forms: table, graph, equation, and verbal rule

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
2 + 2 =
2
1 + 10 =
3
2 + 5 =
4
1 + 2 =
5
9 + 7 =
6
5 + 9 =
7
9 + 8 =
8
6 + 10 =
9
10 + 2 =
10
7 + 10 =
11
2 + 3 =
12
1 + 1 =
13
5 + 2 =
14
5 + 4 =
15
6 + 10 =
16
10 + 8 =
17
9 + 4 =
18
10 + 5 =

Answer Key

1. 42. 113. 74. 35. 166. 147. 178. 169. 1210. 1711. 512. 213. 714. 915. 1616. 1817. 1318. 15

Frequently Asked Questions

How do I download this introduction to functions - worksheet 7 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this functions worksheet cover?

This worksheet focuses on functions, domain, range. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.