DAT High-Yield Math – Test Your Skills | DAT Destroyer | OAT Destroyer

---

Members do not see this ad.

Which of the following equations represents the graph shown?

A. −x6+5x4−34x2-x^6 + 5x^4 - 34x^2−x6+5x4−34x2
B. x6+13x4−36x2x^6 + 13x^4 - 36x^2x6+13x4−36x2
C. −x5−13x4−36x2-x^5 - 13x^4 - 36x^2−x5−13x4−36x2
D. −x6+13x4−36x2-x^6 + 13x^4 - 36x^2−x6+13x4−36x2
E. x6+13x4−34x2x^6 + 13x^4 - 34x^2x6+13x4−34x2


Answer: D


The graph is going up in the 3rd quadrant and down in the 4th quadrant, which means it is an even exponent of the variable with a negative sign.


The graph crosses the x-axis at −3,−2,+2,+3-3, -2, +2, +3−3,−2,+2,+3 and touches the x-axis at 000. From there we can derive an equation:

−(x−0)2(x+3)(x+2)(x−2)(x−3)-(x - 0)^2(x+3)(x+2)(x-2)(x-3)−(x−0)2(x+3)(x+2)(x−2)(x−3)−x2(x−3)(x+3)(x−2)(x+2)- x^2 (x - 3)(x + 3)(x - 2)(x + 2)−x2(x−3)(x+3)(x−2)(x+2)−x2(x2−9)(x2−4)- x^2 (x^2 - 9)(x^2 - 4)−x2(x2−9)(x2−4)−x6+13x4−36x2\boxed{-x^6 + 13x^4 - 36x^2}−x6+13x4−36x2

🌐 Website and DAT study guides
📘 Facebook Study Group
• Free Dr. Romano Biology Review – find the FREE PDF in the Files section of the study group
👥 Reddit Community
📸 Instagram
📺 YouTube Channel
🎓 DAT & OAT Classes with Dr. Jim Romano