https://file.aiquickdraw.com/mathbot/file/1727030887668go8so3g8.jpg

To solve this problem, we need to analyze the function:

\[
f(x) = 2x^3 + 2x^2 - 2x + 2
\]

The question asks which feature is **NOT** represented in the graph of the function.

### Step-by-step analysis:

1. **Vertical Asymptote**:
   A vertical asymptote occurs when the function tends towards infinity as \( x \) approaches a specific value, usually because of a division by zero in a rational function. However, \( f(x) \) is a **polynomial function**, and polynomial functions do not have vertical asymptotes. Therefore, **option 1 (vertical asymptote at \( x = 0 \))** is incorrect.

2. **Y-Intercept**:
   The y-intercept occurs when \(

Which of the following features would NOT be represented on a sketch of the graph of the function: f(x) = 2x^3 + 2x^2 - 2x + 2?

This problem involves analyzing the polynomial function f(x) = 2x^3 + 2x^2 - 2x + 2. Explore which features, such as vertical asymptotes, y-intercepts, and local extrema, are represented in the graph. Suitable for students in Grades 9-12.

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