Math Problem Statement

Evaluate the given function fx=x2-4x-2 .

Solution

To evaluate the function f(x)=x24x2f(x) = x^2 - 4x - 2, we need to substitute a specific value of xx into the equation. However, since you haven't provided a specific value for xx, I'll show you how to evaluate it generally.

Step 1: Write the function

f(x)=x24x2f(x) = x^2 - 4x - 2

Step 2: Substitute a value of xx (e.g., x=3x = 3)

f(3)=(3)24(3)2f(3) = (3)^2 - 4(3) - 2 f(3)=9122f(3) = 9 - 12 - 2 f(3)=5f(3) = -5

So, for x=3x = 3, the value of the function is f(3)=5f(3) = -5.

If you want to evaluate for a different value of xx, just substitute that number into the equation!

Would you like to evaluate it for another value of xx? Let me know if you have any questions or need further details.

Here are some related questions you could explore:

  1. How would you factor the quadratic function f(x)=x24x2f(x) = x^2 - 4x - 2?
  2. What are the roots (or solutions) of the equation x24x2=0x^2 - 4x - 2 = 0?
  3. How can we find the vertex of the parabola represented by f(x)=x24x2f(x) = x^2 - 4x - 2?
  4. What is the behavior of the function for large values of xx?
  5. How does completing the square help us understand the function better?

Tip: When dealing with quadratic functions, it's often helpful to complete the square or use the quadratic formula to find specific values like roots or the vertex!

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Function Evaluation

Formulas

f(x) = x^2 - 4x - 2

Theorems

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Suitable Grade Level

Grades 7-9