30-2 students are learning about Polynomial Functions. The class is curre nvestigating the number of x-intercepts associated with cubic functions. The following 4 statements were made: Student 1: These functions can have 0, 1, 2 or 3 x-interçepts. • Student 2: These functions can have 1, 2 or 3 x-intercepts. Student 3: These functions will always have 1 x-intercept. Student 4: These functions will always have 3 x-intercepts.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
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Explain with the help of the diagrams which student has a true state ment and justify why their classmates statements do not 

Math 30-2 students are learning about Polynomial Functions. The class is curre
investigating the number of x-intercepts associated with cubic functions. The
following 4 statements were made:
Student 1: These functions can have 0, 1, 2 or 3 x-intercepts.
• Student 2: These functions can have 1, 2 or 3 x-intercepts.
Student 3: These functions will always have 1 x-intercept.
• Student 4: These functions will always have 3 x-intercepts.
Transcribed Image Text:Math 30-2 students are learning about Polynomial Functions. The class is curre investigating the number of x-intercepts associated with cubic functions. The following 4 statements were made: Student 1: These functions can have 0, 1, 2 or 3 x-intercepts. • Student 2: These functions can have 1, 2 or 3 x-intercepts. Student 3: These functions will always have 1 x-intercept. • Student 4: These functions will always have 3 x-intercepts.
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