Math Problem Statement
Use the table to answer the following questions: Evaluate f(4) and determine x when f(x) = -19.
Solution
Let's break down the problem using the table of function values provided in the image.
Table:
\hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline f(x) & 93 & 34 & -19 & 42 & -80 & 60 & -78 & -85 & 73 & 12 \\ \hline \end{array}$$ #### 1. Evaluate $$f(4)$$: To evaluate $$f(4)$$, look at the row for $$x = 4$$. According to the table: $$f(4) = -80$$ #### 2. Determine $$x$$ when $$f(x) = -19$$: Now, we need to find $$x$$ such that $$f(x) = -19$$. By examining the table: $$f(2) = -19$$ So, $$x = 2$$ when $$f(x) = -19$$. ### Answers: - $$f(4) = -80$$ - $$x = 2$$ when $$f(x) = -19$$ Do you need any more clarification on this? Here are 5 questions to further expand on the concept of evaluating functions: 1. How would you describe a function in mathematical terms? 2. Can you give an example of a real-world situation that can be modeled by a function? 3. What does it mean for a function to be "evaluated" at a specific value of $$x$$? 4. What is the difference between finding $$f(x)$$ and solving for $$x$$ given $$f(x)$$? 5. Can you explain how you would find $$x$$ if the function table wasn't available but you had the function equation? **Tip:** When working with function tables, be careful with the negative values, both for $$x$$ and $$f(x)$$, as they can affect how you interpret results.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Evaluating Functions
Function Tables
Formulas
f(x) is the function value for a given x
Theorems
Function Evaluation Theorem
Suitable Grade Level
Grades 7-9