## Polynomial Function Analysis### 2. Given the function \( f(x) = -x^2(x - 3)(x - 1) \)a. **Find the x and y-intercepts:**- **X-Intercepts:** Set \( f(x) = 0 \) and solve for \( x \).- **Y-Intercept:** Evaluate \( f(0) \).b. **Crosses or touches:**- Analyze which roots the polynomial crosses the x-axis and which ones it just touches.c. **End Behavior:**- Determine what happens to \( f(x) \) as \( x \rightarrow \infty \) and \( x \rightarrow -\infty \).d. **The Maximum Number of Turning Points:**- The degree of the polynomial gives the maximum number of turning points.e. **Intervals:**- Identify the intervals where the function is increasing or decreasing.f. **Graph:**- The diagram represents the coordinate plane with labeled axes.- **X-Axis:** Ranges from -4 to 4 with increments.- **Y-Axis:** Ranges from -50 to 100 with increments.Use this setup to sketch the graph of the polynomial function and analyze its behavior in detail.

Name: ## Polynomial Function Analysis### 2. Given the function \( f(x) = -x
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ## Polynomial Function Analysis### 2. Given the function \( f(x) = -x^2(x - 3)(x - 1) \)a. **Find the x and y-intercepts:**- **X-Intercepts:** Set \( f(x) = 0 \) and solve for \( x \).- **Y-Intercept:** Evaluate \( f(0) \).b. **Crosses or touches:**