22. Compare the zeros of function P and function Q. Which statement about the zeros of the functions is true?
Answer: C
Function Q has the greater zero, which is 5.
The zeros of function Q indicate that its highest zero is 5, making it greater than the zeros of function P.
A) Function P has the greater zero, which is 9.
This option is incorrect because it inaccurately states that function P has a zero of 9, which is not supported by the comparison of the zeros. Moreover, the statement defines P's zero as greater than Q's, which contradicts the correct answer.
B) Function P has the greater zero, which is 1.
This option is also incorrect. It wrongly suggests that the greatest zero of function P is 1, failing to recognize that function Q has a zero of 5, which is greater than any zero attributed to function P.
C) Function Q has the greater zero, which is 5.
This statement is accurate as it correctly identifies that function Q's highest zero is indeed 5. This makes it the greatest zero among the compared functions.
D) Function Q has the greater zero, which is 4.
This option is incorrect because it misrepresents the value of the greatest zero of function Q, stating it as 4 instead of the correct value of 5. This misstatement leads to an inaccurate conclusion regarding the comparative zeros.
Conclusion
The correct answer highlights that function Q has a greater zero of 5, surpassing any zero from function P. All other options misstate the zeros of the functions, either by providing incorrect values or by misidentifying which function has the greater zero, thereby failing to accurately compare the functions as required.