Discuss with a classmate: Will f−2 be less than or greater than 18?2. Determine the value of f−2.

To address the question regarding the value of $f(-2)$ and whether it will be less than or greater than 18, we'll approach it step by step.

1. Understanding the Function

First, it's crucial to understand what the function $f$ represents. Without additional context, we can only discuss hypothetically. Functions can vary widely in behavior; thus, we would need more information about the specific function $f$ to evaluate $f(-2)$.

2. Consider Different Types of Functions

• Linear Functions: If $f(x)$ is linear, it can be written as $f(x) = mx + b$. Here, substituting $x = -2$ would yield a result directly dependent on the coefficients $m$ and $b$.
• Quadratic Functions: If $f(x)$ is quadratic, expressed as $f(x) = ax^2 + bx + c$, we would substitute $-2$ and calculate the value.
• Exponential/Logarithmic Functions: Different functional types will also yield different results.

3. Evaluate $f(-2)$

To determine if $f(-2)$ is less than or greater than 18, you need to evaluate the specific function when $x = -2$. Let’s say you find $f(-2) = k$, where $k$ is the resulting value after you plug in $-2$ into the function.

4. Conclusion

Once the value $k$ is determined, you can clearly state whether $k < 18$ or $k > 18$. If you happen to know more about the function, please share that information to provide a more detailed analysis. Otherwise, without the specific function, we cannot arrive at a final answer.

To summarize, the final determination about whether $f(-2)$ is less than or greater than 18 hinges entirely on the definition of the function $f$.