Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:**Which equation(s) represent the graph below?**
The graph displayed is a curve with distinct features, including intercepts and turning points. It crosses the x-axis at approximately -4, 2, and 3 and has a y-intercept at around 8. There are noticeable peaks and valleys, with a peak near (-2, 8) and a valley close to (2.5, -5). The graph seems to represent a polynomial function.
**Equations:**
I: \( y = (x + 2)(x^2 - 4x - 12) \)
II: \( y = (x - 3)(x^2 + x - 2) \)
III: \( y = (x - 1)(x^2 - 5x - 6) \)
**Options:**
- ○ I, only
- ○ II, only
- ○ I and II
- ○ II and III
Expert Solution

Step 1
from the graph we can see that x=-2,1,3 are roots of equation.
from (i) we have y=(x+2)(x2-4x-12)=(x+2)(x-6)(x+2)
from(ii) we have y=(x-3)(x2+x-2)=(x-3)(x-1)(x+2)
therefore this equation have also same roots -2,1,3
also from (iii) we have y=(x-1)(x2-5x-6)=(x-1)(x-6)(x+1)
Step by step
Solved in 2 steps
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