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 f(x)=x+1f(x) = x + 1.

For each xx, calculate f(x)f(x) using the given formula:

f(x)=x+1f(x) = x + 1

  • For x=1x = 1, f(1)=1+1=2f(1) = 1 + 1 = 2
  • For x=5x = 5, f(5)=5+1=6f(5) = 5 + 1 = 6
  • For x=6x = 6, f(6)=6+1=7f(6) = 6 + 1 = 7
  • For x=7x = 7, f(7)=7+1=8f(7) = 7 + 1 = 8
  • For x=9x = 9, f(9)=9+1=10f(9) = 9 + 1 = 10

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.

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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

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