A planetary body moves along a path modeled by the function f(x) = x² + 3x - 18. This path is laid over a coordinate gri so that astronomers can identify when the planet will come in contact with another path represented by the x-axis. At what point(s) will the paths cross? O (0,3), (0,-6) O (3,0), (-6,0) O The path of the planetary body does not cross the path of the x-axis. O (3,-6), (6,-3)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 2WE
Question
A planetary body moves along a path modeled by the function \( f(x) = x^2 + 3x - 18 \). This path is laid over a coordinate grid so that astronomers can identify when the planet will come in contact with another path represented by the x-axis. At what point(s) will the paths cross?

- (0, 3), (0, -6)
- (3, 0), (-6, 0)
- The path of the planetary body does not cross the path of the x-axis.
- (3, -6), (-6, -3)
Transcribed Image Text:A planetary body moves along a path modeled by the function \( f(x) = x^2 + 3x - 18 \). This path is laid over a coordinate grid so that astronomers can identify when the planet will come in contact with another path represented by the x-axis. At what point(s) will the paths cross? - (0, 3), (0, -6) - (3, 0), (-6, 0) - The path of the planetary body does not cross the path of the x-axis. - (3, -6), (-6, -3)
Expert Solution
Step 1: Define the problem

Given that a planetary body moves along a path modeled by the function f open parentheses x close parentheses equals x squared plus 3 x minus 18

This path is laid over a coordinate grid so that astronomers can identify when the planet will come in contact with another path represented by the x-axis. 

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