Math Problem Statement
Given the function f(x) = 12x + 3, create a table of values for x ranging from -2 to 2.
Solution
The image contains part of a math problem. The function given is , and the task appears to ask for creating a table of values for the function within a specific range, "use -2 to 2."
To solve this:
- We will substitute values of from -2 to 2 into the function .
- Calculate the corresponding values.
Let's create the table:
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For :
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For :
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For :
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For :
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For :
The table of values for over is:
\hline x & f(x) \\ \hline -2 & -21 \\ -1 & -9 \\ 0 & 3 \\ 1 & 15 \\ 2 & 27 \\ \hline \end{array}$$ Would you like further details or have any questions? ### 5 Related Questions: 1. What happens to the function $$f(x) = 12x + 3$$ as $$x \to \infty$$? 2. How would the table change if the function were $$f(x) = 12x^2 + 3$$? 3. Can you graph the table of values for better visualization? 4. How does the slope of $$f(x) = 12x + 3$$ affect its rate of change? 5. How would the function behave if you shifted the input range to $$x = -3$$ to $$3$$? ### Tip: When creating a table of values, ensure that you use the same step size between consecutive $$x$$-values for a smooth pattern in the function's behavior.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Algebra
Formulas
f(x) = 12x + 3
Theorems
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Suitable Grade Level
Grades 6-8