Math Problem Statement

Calculate the value of f(4) for the function f(x) = 3 - x/2

Solution

We are given the function f(x)=3x2f(x) = 3 - \frac{x}{2}, and we are asked to calculate the value of f(4)f(4).

To do this, substitute x=4x = 4 into the function:

f(4)=342f(4) = 3 - \frac{4}{2}

Simplifying:

f(4)=32=1f(4) = 3 - 2 = 1

Thus, the correct value of f(4)f(4) is 1, which corresponds to option C.

Would you like more details on this? Here are five related questions:

  1. How would you calculate f(x)f(x) for any arbitrary value of xx?
  2. What happens to the value of f(x)f(x) as xx increases?
  3. How do you graph a linear function like f(x)=3x2f(x) = 3 - \frac{x}{2}?
  4. What is the slope of the function f(x)=3x2f(x) = 3 - \frac{x}{2}?
  5. How would you solve f(x)=0f(x) = 0 for xx?

Tip: When solving for a function value, always carefully substitute and simplify step by step to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Linear functions
Substitution
Basic arithmetic

Formulas

f(x) = 3 - x/2

Theorems

Linear function properties

Suitable Grade Level

Grades 6-8