Math Problem Statement
Complete the function table for the function g(x) = x + 2.
Solution
The function is given, and we need to complete the function table by calculating for each value of .
Let's compute for each value:
- For ,
- For ,
- For ,
- For ,
- For ,
Thus, the completed table is:
\hline x & g(x) \\ \hline -5 & -3 \\ -1 & 1 \\ 0 & 2 \\ 1 & 3 \\ 2 & 4 \\ \hline \end{array}$$ Would you like more details or have any questions? Here are five related questions to expand this topic: 1. What happens to $$g(x)$$ when $$x$$ increases by 1? 2. How would the function table look if the function was $$g(x) = x - 3$$? 3. How would the graph of $$g(x) = x + 2$$ look like? 4. What is the domain and range of this linear function? 5. How does the slope of $$g(x) = x + 2$$ influence its growth? **Tip**: When working with linear functions, the constant term shifts the graph vertically, while the coefficient of $$x$$ determines the slope or steepness.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
g(x) = x + 2
Theorems
Linear function properties
Suitable Grade Level
Grades 6-8