Math Problem Statement
Complete the table and graph the function f(x) = x + 1. Use x values of 1, 5, 6, 7, and 9.
Solution
Let's start by completing the table for the function .
For each , calculate using the given formula:
- For ,
- For ,
- For ,
- For ,
- For ,
The completed table looks like this:
\hline x & f(x) \\ \hline 1 & 2 \\ 5 & 6 \\ 6 & 7 \\ 7 & 8 \\ 9 & 10 \\ \hline \end{array}$$ Now, for graphing the points: - Plot (1, 2) - Plot (5, 6) - Plot (6, 7) - Plot (7, 8) - Plot (9, 10) Do you need more details on how to graph the function? Here are five related questions for further understanding: 1. What does the slope of the line represent in this function? 2. How does the graph change if the function is $$f(x) = x + 2$$? 3. What is the y-intercept of the line represented by $$f(x) = x + 1$$? 4. How would the graph look if you plotted negative values for $$x$$? 5. What is the domain and range of this function? **Tip:** When plotting a linear function like $$f(x) = x + 1$$, the points should always form a straight line.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Graphing
Algebra
Formulas
f(x) = x + 1
Theorems
Slope-Intercept Form
Suitable Grade Level
Grades 6-8