A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 10, negative 8, negative 6, negative 4, negative 2, 0.
Which is an x-intercept of the continuous function in the table?

The x-intercept of a function is the point where the function crosses the x-axis, meaning \( f(x) = 0 \). From the table, we need to find where \( f(x) = 0 \).

Given the table:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-2 & -10 \\
-1 & -8 \\
0 & -6 \\
1 & -4 \\
2 & -2 \\
3 & 0 \\
\hline
\end{array}
\]

We can see that at \( x = 3 \), \( f(3) = 0 \).

Thus, the x-intercept is at **\( x = 3 \)**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the y-intercept of this function?
2. How do we calculate the slope between two points in the table?
3. Is this function linear based on the given data?
4. How can you determine if a function is continuous from a table?
5. What happens if a function has multiple x-intercepts?

**Tip:** An x-intercept occurs where the function value equals zero; always check for this when interpreting tables of functions.

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 10, negative 8, negative 6, negative 4, negative 2, 0. Which is an x-intercept of the continuous function in the table?

Discover how to find the x-intercept of a continuous function using a table of values. In this example, we examine a 2-column table with values for x ranging from -2 to 3 and corresponding values of f(x) from -10 to 0. This lesson focuses on identifying where f(x) equals 0 to determine the x-intercept. Suitable for Grades 6-8.

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