4
QuizMultiple Choice

Solving Trigonometric Inequalities

Question 4 • Precalculus

To solve the trigonometric inequality , Carl graphed the equations and . Shelly, on the other hand, took the cube root of both sides of the inequality so that it became , and she then graphed the equations and . Which of the following statements is true regarding the points of intersection of Carl’s graph and Shelly’s graph?

Question illustration
Answer
A
The points of intersection of Carl’s graph have different x-coordinates than the points of intersection of Shelly’s graph and different y-coordinates.
B
The points of intersection of Carl’s graph have different x-coordinates than the points of intersection of Shelly’s graph but the same y-coordinates.
C
The points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.
D
The points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph and the same y-coordinates.
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