Math Problem Statement

Fill in the table for the linear function f(x) = 3x with values for x = 0, 1, 2, and 3.

Solution

To complete this table, we need to apply the linear function f(x)=3xf(x) = 3x to each given value of xx.

Let's calculate f(x)f(x) for each xx in the table:

  1. For x=0x = 0: f(0)=3×0=0f(0) = 3 \times 0 = 0

  2. For x=1x = 1: f(1)=3×1=3f(1) = 3 \times 1 = 3

  3. For x=2x = 2: f(2)=3×2=6f(2) = 3 \times 2 = 6

  4. For x=3x = 3: f(3)=3×3=9f(3) = 3 \times 3 = 9

So, the completed table should be:

\hline x & f(x) \\ \hline 0 & 0 \\ 1 & 3 \\ 2 & 6 \\ 3 & 9 \\ \hline \end{array}$$ If you have any questions or need further details on this process, feel free to ask! Here are some related questions that might help deepen your understanding: 1. What is the slope of the function $$f(x) = 3x$$, and how does it affect the graph? 2. How would the function table change if the function was $$f(x) = 3x + 2$$? 3. What is the y-intercept of the function $$f(x) = 3x$$? 4. How can you graph this function using the points from the table? 5. How would you determine if another point lies on this line? **Tip:** When filling out tables for linear functions, calculate each entry carefully by substituting values to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Function Tables
Algebra

Formulas

f(x) = 3x

Theorems

-

Suitable Grade Level

Grades 6-8

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