(ii) Identify the zeros of the rational function.

### Identification of Zeros of the Rational Function

**Zeros of a function** are the values of \( x \) for which the function \( f(x) \) equals zero. For a rational function given by:
\[ f(x) = \frac{P(x)}{Q(x)} \]
the zeros are the values of \( x \) that make the numerator \( P(x) \) equal to zero, provided these values do not make the denominator \( Q(x) \) zero.

From the graph provided, we can identify the zeros of the function by looking at the points where the graph crosses the x-axis. These points are labeled as:

- \( B = (2, 0) \)
- \( C = (3, 0) \)
- \( D = (4, 0) \)

Therefore, the zeros of the rational function are:
\[ x = 2,

Learn how to identify zeros of rational functions with this step-by-step guide. Understand the concept of zeros in functions and how to find them for rational functions. Suitable for high school students studying advanced algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation