https://file.aiquickdraw.com/mathbot/file/1726537006882qqwx88sm.jpg

The function given in the image is \( f(x) = x \). This is a simple linear function where the y-coordinate is always equal to the x-coordinate.

Let's determine the y-coordinates for the three given x-values:

1. When \( x = 0 \), \( y = f(0) = 0 \).
2. When \( x = 1 \), \( y = f(1) = 1 \).
3. When \( x = 2 \), \( y = f(2) = 2 \).

So the corresponding table is:
\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
0 & 0 \\
1 & 1 \\
2 & 2 \\
\hline
\end{array}
\]

Would you like more details about how the graph of this function looks, or do you have any questions?

Here are 5 related questions for further exploration:
1. What is the slope of the line \( f(x) = x \)?
2. How does the graph of \( f(x) = x \) compare to the graph of \( f(x) = 2x \)?
3. What would the y-coordinates be for \( x = -1 \) and \( x = -2 \)?
4. How does the graph of \( f(x) = x \) change if we shift it vertically by 3 units?
5. What are the intercepts of the graph of \( f(x) = x \)?

**Tip:** The function \( f(x) = x \) represents a straight line that passes through the origin (0, 0) with a slope of 1.

Graph the function f(x) = x and identify three points on the graph based on given x-values.

Learn how to graph the linear function f(x) = x and identify key points on the graph based on specific x-values. This problem explores fundamental concepts in algebra and linear equations, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation