Math Problem Statement
Complete the function table for f(a) = -9|a| with values a = -4, -2, 0, 2.
Solution
Let's solve the function table for .
Step-by-step:
The function is defined as , which means that for each value of , you will take the absolute value of and then multiply it by -9.
Values of given:
Now, calculate for each :
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For :
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For :
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For :
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For :
Final Table:
\hline a & f(a) \\ \hline -4 & -36 \\ -2 & -18 \\ 0 & 0 \\ 2 & -18 \\ \hline \end{array}$$ Do you have any questions or want more details? Here are five related questions to expand your understanding: 1. How does the absolute value affect negative inputs in a function? 2. What happens when you multiply absolute values by negative numbers? 3. Can you describe how the function would behave for positive and negative values of $$a$$? 4. How would the function change if the coefficient (-9) were positive? 5. What would happen if you changed the function to $$f(a) = -9a$$ without the absolute value? **Tip:** Remember, the absolute value of any number is always non-negative, so it turns negative numbers into positive ones before applying the rest of the function!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Absolute Value
Functions
Algebra
Formulas
f(a) = -9|a|
|a| = absolute value of a
Theorems
Absolute value theorem
Function evaluation
Suitable Grade Level
Grades 8-10