Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Printable math worksheet for practicing function tables with various algebraic expressions.

Function table worksheet with 12 algebraic equations to complete, including quadratic, linear, and cubic functions.

Function table worksheet with 12 algebraic equations to complete, including quadratic, linear, and cubic functions.

JPG 448×637 41.8 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #501322
Show Answer Key & Explanations Step-by-step solution for: Function Worksheets | Function tables, Linear function, Functions ...
To solve the problem, we need to evaluate each function for the given values of \( x \) and fill in the function table. Let's go through each function step by step.

---

1. \( f(x) = 5x^2 \)



| \( x \) | \( -3 \) | \( -1 \) | \( 2 \) | \( 3 \) | \( 5 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 5(-3)^2 = 5 \cdot 9 = 45 \) | \( 5(-1)^2 = 5 \cdot 1 = 5 \) | \( 5(2)^2 = 5 \cdot 4 = 20 \) | \( 5(3)^2 = 5 \cdot 9 = 45 \) | \( 5(5)^2 = 5 \cdot 25 = 125 \) |

Completed row:
| \( x \) | \( -3 \) | \( -1 \) | \( 2 \) | \( 3 \) | \( 5 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 45 \) | \( 5 \) | \( 20 \) | \( 45 \) | \( 125 \) |

---

2. \( f(x) = x - 3 \)



| \( x \) | \( 1 \) | \( 2 \) | \( 4 \) | \( 5 \) | \( 8 \) |
|---------|---------|---------|---------|---------|---------|
| \( f(x) \) | \( 1 - 3 = -2 \) | \( 2 - 3 = -1 \) | \( 4 - 3 = 1 \) | \( 5 - 3 = 2 \) | \( 8 - 3 = 5 \) |

Completed row:
| \( x \) | \( 1 \) | \( 2 \) | \( 4 \) | \( 5 \) | \( 8 \) |
|---------|---------|---------|---------|---------|---------|
| \( f(x) \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 5 \) |

---

3. \( f(x) = 2x + 4 \)



| \( x \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 5 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 2(-2) + 4 = -4 + 4 = 0 \) | \( 2(-1) + 4 = -2 + 4 = 2 \) | \( 2(1) + 4 = 2 + 4 = 6 \) | \( 2(2) + 4 = 4 + 4 = 8 \) | \( 2(5) + 4 = 10 + 4 = 14 \) |

Completed row:
| \( x \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 5 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 0 \) | \( 2 \) | \( 6 \) | \( 8 \) | \( 14 \) |

---

4. \( f(x) = 2x^2 \)



| \( x \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 3 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 2(-2)^2 = 2 \cdot 4 = 8 \) | \( 2(-1)^2 = 2 \cdot 1 = 2 \) | \( 2(1)^2 = 2 \cdot 1 = 2 \) | \( 2(2)^2 = 2 \cdot 4 = 8 \) | \( 2(3)^2 = 2 \cdot 9 = 18 \) |

Completed row:
| \( x \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 3 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 8 \) | \( 2 \) | \( 2 \) | \( 8 \) | \( 18 \) |

---

5. \( f(x) = 3 - 2x \)



| \( x \) | \( -3 \) | \( -1 \) | \( 0 \) | \( 2 \) | \( 3 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 3 - 2(-3) = 3 + 6 = 9 \) | \( 3 - 2(-1) = 3 + 2 = 5 \) | \( 3 - 2(0) = 3 - 0 = 3 \) | \( 3 - 2(2) = 3 - 4 = -1 \) | \( 3 - 2(3) = 3 - 6 = -3 \) |

Completed row:
| \( x \) | \( -3 \) | \( -1 \) | \( 0 \) | \( 2 \) | \( 3 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 9 \) | \( 5 \) | \( 3 \) | \( -1 \) | \( -3 \) |

---

6. \( f(x) = -x^2 \)



| \( x \) | \( -4 \) | \( -3 \) | \( 0 \) | \( 1 \) | \( 2 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( -( -4 )^2 = -16 \) | \( -( -3 )^2 = -9 \) | \( -( 0 )^2 = 0 \) | \( -( 1 )^2 = -1 \) | \( -( 2 )^2 = -4 \) |

Completed row:
| \( x \) | \( -4 \) | \( -3 \) | \( 0 \) | \( 1 \) | \( 2 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( -16 \) | \( -9 \) | \( 0 \) | \( -1 \) | \( -4 \) |

---

7. \( f(x) = -4 - x \)



| \( x \) | \( -4 \) | \( -1 \) | \( 2 \) | \( 6 \) | \( 8 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( -4 - (-4) = -4 + 4 = 0 \) | \( -4 - (-1) = -4 + 1 = -3 \) | \( -4 - 2 = -6 \) | \( -4 - 6 = -10 \) | \( -4 - 8 = -12 \) |

Completed row:
| \( x \) | \( -4 \) | \( -1 \) | \( 2 \) | \( 6 \) | \( 8 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 0 \) | \( -3 \) | \( -6 \) | \( -10 \) | \( -12 \) |

---

8. \( f(x) = 8 - 5x \)



| \( x \) | \( -6 \) | \( -3 \) | \( 0 \) | \( 3 \) | \( 5 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 8 - 5(-6) = 8 + 30 = 38 \) | \( 8 - 5(-3) = 8 + 15 = 23 \) | \( 8 - 5(0) = 8 - 0 = 8 \) | \( 8 - 5(3) = 8 - 15 = -7 \) | \( 8 - 5(5) = 8 - 25 = -17 \) |

Completed row:
| \( x \) | \( -6 \) | \( -3 \) | \( 0 \) | \( 3 \) | \( 5 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 38 \) | \( 23 \) | \( 8 \) | \( -7 \) | \( -17 \) |

---

9. \( f(x) = \frac{x}{3} \)



| \( x \) | \( -6 \) | \( -3 \) | \( 3 \) | \( 6 \) | \( 9 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( \frac{-6}{3} = -2 \) | \( \frac{-3}{3} = -1 \) | \( \frac{3}{3} = 1 \) | \( \frac{6}{3} = 2 \) | \( \frac{9}{3} = 3 \) |

Completed row:
| \( x \) | \( -6 \) | \( -3 \) | \( 3 \) | \( 6 \) | \( 9 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 3 \) |

---

10. \( f(x) = \frac{x^3}{2} \)



| \( x \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 4 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( \frac{(-2)^3}{2} = \frac{-8}{2} = -4 \) | \( \frac{(-1)^3}{2} = \frac{-1}{2} = -0.5 \) | \( \frac{(1)^3}{2} = \frac{1}{2} = 0.5 \) | \( \frac{(2)^3}{2} = \frac{8}{2} = 4 \) | \( \frac{(4)^3}{2} = \frac{64}{2} = 32 \) |

Completed row:
| \( x \) | \( -2 \) | \( -1 \) | \( 1 \) | \( 2 \) | \( 4 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( -4 \) | \( -0.5 \) | \( 0.5 \) | \( 4 \) | \( 32 \) |

---

11. \( f(x) = x - 1 \)



| \( x \) | \( -1 \) | \( 1 \) | \( 3 \) | \( 7 \) | \( 11 \) |
|---------|----------|---------|---------|---------|----------|
| \( f(x) \) | \( -1 - 1 = -2 \) | \( 1 - 1 = 0 \) | \( 3 - 1 = 2 \) | \( 7 - 1 = 6 \) | \( 11 - 1 = 10 \) |

Completed row:
| \( x \) | \( -1 \) | \( 1 \) | \( 3 \) | \( 7 \) | \( 11 \) |
|---------|----------|---------|---------|---------|----------|
| \( f(x) \) | \( -2 \) | \( 0 \) | \( 2 \) | \( 6 \) | \( 10 \) |

---

12. \( f(x) = -3x + 7 \)



| \( x \) | \( -5 \) | \( -1 \) | \( 0 \) | \( 5 \) | \( 7 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( -3(-5) + 7 = 15 + 7 = 22 \) | \( -3(-1) + 7 = 3 + 7 = 10 \) | \( -3(0) + 7 = 0 + 7 = 7 \) | \( -3(5) + 7 = -15 + 7 = -8 \) | \( -3(7) + 7 = -21 + 7 = -14 \) |

Completed row:
| \( x \) | \( -5 \) | \( -1 \) | \( 0 \) | \( 5 \) | \( 7 \) |
|---------|----------|----------|---------|---------|---------|
| \( f(x) \) | \( 22 \) | \( 10 \) | \( 7 \) | \( -8 \) | \( -14 \) |

---

Final Answer:



\[
\boxed{
\begin{array}{c|c|c|c|c|c}
x & -3 & -1 & 2 & 3 & 5 \\
\hline
f(x) & 45 & 5 & 20 & 45 & 125 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & 1 & 2 & 4 & 5 & 8 \\
\hline
f(x) & -2 & -1 & 1 & 2 & 5 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -2 & -1 & 1 & 2 & 5 \\
\hline
f(x) & 0 & 2 & 6 & 8 & 14 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -2 & -1 & 1 & 2 & 3 \\
\hline
f(x) & 8 & 2 & 2 & 8 & 18 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -3 & -1 & 0 & 2 & 3 \\
\hline
f(x) & 9 & 5 & 3 & -1 & -3 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -4 & -3 & 0 & 1 & 2 \\
\hline
f(x) & -16 & -9 & 0 & -1 & -4 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -4 & -1 & 2 & 6 & 8 \\
\hline
f(x) & 0 & -3 & -6 & -10 & -12 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -6 & -3 & 0 & 3 & 5 \\
\hline
f(x) & 38 & 23 & 8 & -7 & -17 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -6 & -3 & 3 & 6 & 9 \\
\hline
f(x) & -2 & -1 & 1 & 2 & 3 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -2 & -1 & 1 & 2 & 4 \\
\hline
f(x) & -4 & -0.5 & 0.5 & 4 & 32 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -1 & 1 & 3 & 7 & 11 \\
\hline
f(x) & -2 & 0 & 2 & 6 & 10 \\
\end{array}
\quad
\begin{array}{c|c|c|c|c|c}
x & -5 & -1 & 0 & 5 & 7 \\
\hline
f(x) & 22 & 10 & 7 & -8 & -14 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 8th grade math functions worksheet.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all 8th grade math functions worksheet)

Relations and Functions Worksheet for 8th - 10th Grade | Lesson Planet
Function Worksheets
8th Grade Math Problems | Algebra worksheets, 8th grade math ...
Level Ups: 8th Grade Defining & Comparing Functions | Made By Teachers
Functional Skills Math Worksheets Reviewed by Teachers
Evaluating and Identifying Functions Worksheet by Free to Discover
Function Worksheets
Grade 8 Math #3.3d, Functions - Make a Table from an equation (New version )
50+ Functions worksheets for 8th Class on Quizizz | Free & Printable
8th Grade Math Worksheets - Math in Demand