Math Problem Statement

F(x)=x square 2

Solution

It looks like you're trying to define a function. I believe you meant:

F(x)=x2×2F(x) = x^2 \times 2

This function means that for every input value xx, you square the value of xx and then multiply the result by 2. In other words:

F(x)=2x2F(x) = 2x^2

Example Calculation:

If x=3x = 3: F(3)=2×32=2×9=18F(3) = 2 \times 3^2 = 2 \times 9 = 18

Would you like more details or have any questions?

Here are some related questions to explore:

  1. What is the derivative of F(x)=2x2F(x) = 2x^2?
  2. How would you find the value of F(x)F(x) when x=4x = -4?
  3. How does the graph of F(x)=2x2F(x) = 2x^2 compare to F(x)=x2F(x) = x^2?
  4. What are the roots (solutions) of the equation 2x2=02x^2 = 0?
  5. How can you integrate F(x)=2x2F(x) = 2x^2?

Tip: When graphing F(x)=2x2F(x) = 2x^2, the "2" causes the parabola to stretch vertically compared to F(x)=x2F(x) = x^2.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Polynomial Multiplication

Formulas

F(x) = 2x^2

Theorems

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Suitable Grade Level

Grades 8-10