Math Problem Statement

Complete the table for the function f(x) = 3x using the given x-values: 0, 1, 2, and 3.

Solution

The table is for the function f(x)=3xf(x) = 3x. To complete the table:

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

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

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

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

So the completed table is:

xxf(x)f(x)
00
13
26
39

Let me know if you have questions or would like further assistance!

Related Questions:

  1. What would f(x)f(x) equal if x=1x = -1?
  2. How can we describe the graph of f(x)=3xf(x) = 3x?
  3. What is the slope of the linear function f(x)=3xf(x) = 3x?
  4. If f(x)=12f(x) = 12, what is xx?
  5. How does the function f(x)=3xf(x) = 3x change if the coefficient is altered?

Tip: For linear functions f(x)=mxf(x) = mx, mm represents the slope, which determines how steep the line is.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Algebra

Formulas

f(x) = 3x

Theorems

Properties of Linear Functions

Suitable Grade Level

Grades 6-8