I. Complete the following statements. Write the correct word/s in a separate sheet of paper.
A.(1)_
of the graph of a rational
function are the points of intersection of its graph
and an axis.
B.(2)_
of a function are the values of x which make the function zero. The numbered zeroes are also (3)_
function.
of the graph of the

Let's complete the statements based on the given sentences:

A. (1) **Intercepts**  
_Intercepts of the graph of a rational function are the points of intersection of its graph and an axis._

B. (2) **Zeroes**  
_Zeroes of a function are the values of x which make the function zero. The numbered zeroes are also (3) **roots** of the graph of the function._

Would you like to discuss the concepts of intercepts, zeroes, or roots further? Let me know!

Here are 5 related questions to deepen your understanding:
1. What is the difference between x-intercepts and y-intercepts in a graph?
2. How can you find the zeroes of a polynomial function algebraically?
3. Why are zeroes of a function also called the roots?
4. Can a rational function have more than one y-intercept?
5. How do asymptotes relate to the intercepts of a rational function?

**Tip**: The x-intercepts are the points where the graph crosses the x-axis, and they correspond to the roots of the function.

I. Complete the following statements. Write the correct word/s in a separate sheet of paper. A.(1) _ of the graph of a rational function are the points of intersection of its graph and an axis. B.(2) _ of a function are the values of x which make the function zero. The numbered zeroes are also (3) _ function.

Explore the core concepts of intercepts, zeroes, and roots in rational functions. Learn how these elements relate to the points where a graph intersects an axis, with examples that clarify key algebraic ideas. Suitable for students in Grades 9-12.

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