Math Problem Statement
Evaluate each expression based on the following table. x −3 −2 −1 0 1 2 3 f(x) 2 3 5 3 −3 −0.5 0.25 (a) f(−1)
(b) f(1)
Solution
Using the given table:
x & f(x) \\ \hline -3 & 2 \\ -2 & 3 \\ -1 & 5 \\ 0 & 3 \\ 1 & -3 \\ 2 & -0.5 \\ 3 & 0.25 \\ \end{array}$$ ### (a) $$f(-1)$$ From the table, when $$x = -1$$, $$f(x) = 5$$. So, $$f(-1) = 5$$. ### (b) $$f(1)$$ From the table, when $$x = 1$$, $$f(x) = -3$$. So, $$f(1) = -3$$. --- Do you want further explanation on how to read the table or any other details? Here are some related questions: 1. What would be $$f(2)$$ based on the table? 2. What is the value of $$f(0)$$? 3. How would you interpret $$f(x)$$ when $$x = 3$$? 4. How does the function behave as $$x$$ increases? 5. What can you say about the symmetry of the function values? **Tip:** When analyzing function tables, focus on the relationship between the input $$x$$ and the output $$f(x)$$, which can help identify patterns.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Functions
Function Evaluation
Reading Function Tables
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8