To find the discontinuities of the function \( f(x) = x^2 + 2x - 1 \), we need to determine where the function is not defined or where it has breaks.

### Step 1: Identify the type of function
The given function \( f(x) = x^2 + 2x - 1 \) is a **polynomial**. Polynomial functions are continuous everywhere on the real number line, meaning they do not have any discontinuities.

### Conclusion:
Since \( f(x) = x^2 + 2x - 1 \) is a polynomial function, it **does not have any discontinuities**. It is continuous for all real values of \( x \).

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the derivative of the function \( f(x) = x^2 + 2x - 1 \)?
2. How do you find the roots of the quadratic equation \( x^2 + 2x - 1 = 0 \)?
3. What is the vertex form of the function \( f(x) = x^2 + 2x - 1 \)?
4. How do you determine if a function is continuous or discontinuous?
5. What is the significance of the discriminant in a quadratic equation?

**Tip:** A polynomial function of degree \( n \) is always continuous on the entire real line, meaning it has no discontinuities.

Explore how to find the discontinuity of the polynomial function x² + 2x - 1. Learn about polynomial functions, their continuity, and why this specific function does not have any discontinuities. Suitable for Grades 10-12.

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