Math Problem Statement
Find the function f(x) = 4 - 2x for x = 7. Construct a table of values by substituting values of x in the definition for f(x).
Solution
The image shows a mathematical question asking for a table of values to be completed for the function . The table contains specific values of that need to be substituted into the function to determine the corresponding values.
Let's calculate the values for each :
- For ,
- For ,
- For ,
- For ,
- For ,
Here is the completed table of values:
\hline x & f(x) \\ \hline 7 & -10 \\ 7.2 & -10.4 \\ 8 & -12 \\ 9.5 & -15 \\ 9 & -14 \\ \hline \end{array}$$ Let me know if you'd like further explanation! --- **Next Steps (5 Related Questions):** 1. What is the general slope of the linear function $$f(x) = 4 - 2x$$? 2. How would the function $$f(x)$$ behave if the coefficient of $$x$$ were positive? 3. Can you graph the function $$f(x) = 4 - 2x$$ based on these points? 4. What is the x-intercept and y-intercept of $$f(x) = 4 - 2x$$? 5. How does this function change when the constant is adjusted (e.g., $$f(x) = 5 - 2x$$)? **Tip**: When working with linear functions, knowing the slope-intercept form, $$y = mx + b$$, helps quickly determine how the function behaves across all values of $$x$$.Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Linear Functions
Formulas
f(x) = 4 - 2x
Theorems
-
Suitable Grade Level
Grades 6-8