Math Problem Statement

Jorge is given the equation f(x) = 2x + 4 .

Which equation could be used to determine the value of f(3) ? A.f(3) = 23 + 4

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

C.f(3) = 2(3) + 4

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

Solution

To find the value of f(3)f(3), we need to substitute x=3x = 3 into the given equation:

f(x)=2x+4f(x) = 2x + 4

Now substitute x=3x = 3:

f(3)=2(3)+4f(3) = 2(3) + 4

This simplifies to:

f(3)=6+4=10f(3) = 6 + 4 = 10

So, the correct equation to determine the value of f(3)f(3) is:

C. f(3)=2(3)+4f(3) = 2(3) + 4

Further Questions:

  1. How do you find f(4)f(4) using the equation f(x)=2x+4f(x) = 2x + 4?
  2. What would be the value of f(0)f(0)?
  3. How would the equation change if f(x)=3x+5f(x) = 3x + 5?
  4. What happens to the graph of f(x)=2x+4f(x) = 2x + 4 when xx increases?
  5. How does the value of f(x)f(x) change if you subtract 2 from both sides of the original equation?

Tip:

Always substitute the value of xx directly into the equation to evaluate f(x)f(x) at any specific point.

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Math Problem Analysis

Mathematical Concepts

Functions
Linear Equations
Substitution

Formulas

f(x) = 2x + 4

Theorems

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Suitable Grade Level

Grades 6-8