Math Problem Statement

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Complete the table for the function f(x) = 2x + 4, using values of x: 0, 1, 2, 3.

Solution

The given problem asks to complete the table for the function f(x)=2x+4f(x) = 2x + 4. We need to calculate f(x)f(x) for the given values of xx.

The function is linear, where: f(x)=2x+4f(x) = 2x + 4

Let's calculate f(x)f(x) for each value of xx:

  1. x=0x = 0: f(0)=2(0)+4=4f(0) = 2(0) + 4 = 4
  2. x=1x = 1: f(1)=2(1)+4=6f(1) = 2(1) + 4 = 6
  3. x=2x = 2: f(2)=2(2)+4=8f(2) = 2(2) + 4 = 8
  4. x=3x = 3: f(3)=2(3)+4=10f(3) = 2(3) + 4 = 10

Thus, the completed table is:

xxf(x)f(x)
04
16
28
310

Would you like further details on how this was computed or on the properties of linear functions?

Here are 5 follow-up questions you might find useful:

  1. What is the slope of the function f(x)=2x+4f(x) = 2x + 4?
  2. How would the function change if the slope were different?
  3. What is the meaning of the number 4 in the function f(x)=2x+4f(x) = 2x + 4?
  4. How would the graph of f(x)=2x+4f(x) = 2x + 4 look?
  5. What other kinds of functions are similar to linear ones?

Tip: In a linear function, the coefficient of xx (in this case, 2) represents the slope, showing how steep the line is.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Algebra

Formulas

f(x) = 2x + 4

Theorems

Linear Equation Theorem

Suitable Grade Level

Grades 6-8