Math Problem Statement
Evaluate and graph the linear function f(x) = -x - 8 using the provided table of values and graph points.
Solution
The problem involves evaluating and plotting the function . A table of values is provided to calculate for specific -values, and the task is likely to graph these points on the coordinate plane provided.
Step-by-step Explanation:
1. Given Function:
2. Complete the Table:
For each value of , substitute it into the equation :
- For :
- For :
- For :
The table values are:
\hline x & f(x) \\ \hline -4 & -12 \\ 8 & -20 \\ 16 & -24 \\ \hline \end{array}$$ #### 3. **Plot Points on the Graph**: You should plot the points: - $$(-4, -12)$$ - $$(8, -20)$$ - $$(16, -24)$$ #### 4. **Draw the Line**: Since $$f(x) = -x - 8$$ is a linear function, the points will form a straight line when connected. Would you like help sketching the graph or further explanations? --- ### **Related Questions**: 1. How do you determine the slope and intercept of a linear function like $$f(x) = -x - 8$$? 2. What does the slope of $$-1$$ indicate about the graph's behavior? 3. How do you find additional points for $$f(x) = -x - 8$$? 4. Why is $$f(x) = -x - 8$$ considered a linear function? 5. How does the $$-8$$ in the equation affect the graph? --- ### **Tip**: For any linear function in the form $$y = mx + b$$, $$m$$ is the slope, and $$b$$ is the y-intercept.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Graphing
Slope-Intercept Form
Formulas
f(x) = mx + b
f(x) = -x - 8
Theorems
Slope-Intercept Form Theorem
Suitable Grade Level
Grades 8-10