number 13 ### Problem Statement**13.** \( f(x) = x^3 + 9x^2 - 10x + 2 \) about \( x = 3 \)### ExplanationIn this problem, we are given a cubic polynomial function:\[ f(x) = x^3 + 9x^2 - 10x + 2 \]The task involves analyzing or evaluating this function near or at the point \( x = 3 \). The context suggests this might be part of a larger topic, possibly involving evaluation, analysis, or sketching the behavior of the polynomial around this specific value.### Further AnalysisTo understand the behavior of \( f(x) \) at \( x = 3 \), consider the following steps which might be explored in different educational settings:1. **Evaluation at \( x = 3 \):** Calculate \( f(3) \) to determine the function's value at this point. 2. **Derivative Analysis:** Find \( f'(x) \) if the task involves exploring the rate of change or the slope of the tangent at \( x = 3 \).3. **Graphical Interpretation:** Plotting the function for a range of \( x \) values around 3 could help visualize its nature, such as intercepts, turning points, and inflection.Feel free to delve deeper based on your curricular focus, whether it involves calculus, algebra, or graphical analysis.

Name: number 13 ### Problem Statement**13.** \( f(x) = x^3 + 9x^2 - 10x + 2
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: number 13 ### Problem Statement**13.** \( f(x) = x^3 + 9x^2 - 10x + 2 \) about \( x = 3 \)### ExplanationIn this problem, we are given a cubic polynomial function:\[ f(x) = x^3 + 9x^2 - 10x + 2 \]The task involves analyzing or evaluating this functio