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 . 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:
- When , .
- When , .
- When , .
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.Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
f(x) = x (Linear equation)
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 6-8