https://file.aiquickdraw.com/mathbot/file/1728852844650fwuuzepi.jpg

Let's solve the matching problem for each equation and its corresponding function name:

1. \( y = x \): This is a **Linear** function. (f)
2. \( y = \sqrt{x} \): This is the **Square Root** function. (h)
3. \( y = \frac{1}{x} \): This is the **Reciprocal** function. (g)
4. \( y = x^2 \): This is a **Quadratic** function. (a)
5. \( y = x^3 \): This is a **Cubic** function. (c)
6. \( y = |x| \): This is the **Absolute Value** function. (b)
7. \( y = \frac{1}{x^2} \): This is the **Reciprocal Squared** function. (e)
8. \( y = \sqrt[3]{x} \): This is the **Cube Root** function. (d)

Let me know if you need further details or explanations.

Here are five related questions to expand your understanding:
1. What is the general form of a polynomial function?
2. How is a cubic function different from a quadratic function?
3. What are the key features of an absolute value function graph?
4. How do reciprocal functions behave as \(x\) approaches zero?
5. What are the domain and range of the square root function?

**Tip:** For reciprocal functions, pay attention to vertical and horizontal asymptotes, as these will help you understand their behavior at extremes.

Match each function name with its equation.

Understand how to match functions like linear, quadratic, cubic, and reciprocal with their corresponding equations. This problem helps reinforce key algebraic concepts such as square roots, cube roots, and absolute values. Suitable for students in Grades 9-12.

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