Math Problem Statement
Create a table of values and plot the linear function f(x) = x on a coordinate grid.
Solution
The image you've uploaded contains a coordinate grid and a table of values that appears to represent points for a function . The grid spans values from to on both the - and -axes, and the table underneath lists values of and corresponding values.
The table values are:
\hline x & f(x) \\ \hline -5 & -5 \\ -4 & -4 \\ -3 & -3 \\ -2 & -2 \\ -1 & -1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 2 \\ 3 & 3 \\ 4 & 4 \\ 5 & 5 \\ \hline \end{array}$$ This is likely a linear function of the form $$f(x) = x$$, as for each value of $$x$$, the value of $$f(x)$$ is equal. Would you like more details on this function or its graph? Here are 5 questions to deepen understanding: 1. How do we graph the points from this table on the coordinate plane? 2. What does the slope of the line $$f(x) = x$$ represent? 3. How does this linear function behave as $$x \to \infty$$? 4. Can we generalize this function to one with a different slope, such as $$f(x) = 2x$$? 5. What is the significance of the line $$f(x) = x$$ in geometry? **Tip:** For linear functions, the slope is the key feature that determines how steep the line is!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Coordinate Geometry
Formulas
f(x) = x
Theorems
Linear Function
Suitable Grade Level
Grades 6-8