Use the curve-sketching guideline, to select the graph of the function.

Question

Quizplus · Accepted Answer

Using the curve-sketching guideline, we can determine the following:
- Domain: all real numbers
- y-intercept: (0,0)
- x-intercepts: (-2,0) and (3,0)
- Vertical asymptotes: x = -1 and x = 2
- Horizontal asymptote: y = 0
- Intervals of increase/decrease: decreasing on (-∞,-1), increasing on (-1,2), and decreasing on (2,∞)
- Local maximum/minimum: a local minimum at (-2,f(-2)) and a local maximum at (3,f(3))
Based on these characteristics, option C is the best choice as it matches all of the criteria listed above.

Use the Curve-Sketching Guideline, to Select the Graph of the Function