Math Problem Statement

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

Solution

The function given in the image is f(x)=xf(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=0x = 0, y=f(0)=0y = f(0) = 0.
  2. When x=1x = 1, y=f(1)=1y = f(1) = 1.
  3. When x=2x = 2, y=f(2)=2y = f(2) = 2.

So the corresponding table is:

\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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions

Formulas

f(x) = x (Linear equation)

Theorems

Slope-Intercept Form

Suitable Grade Level

Grades 6-8