Question 15

The y-intercept of function P is 4 which is greater than the y-intercept of function Q.

The y-intercept of function P is determined by the equation f(x) = 4 - 6x, where the y-intercept occurs when x = 0, resulting in f(0) = 4. Since function Q's y-intercept is not specified in the question, we can conclude that the y-intercept of function P is greater than that of function Q.

A) The y-intercept of function P is -6 which is less than the y-intercept of function Q.

This statement is incorrect because the y-intercept of function P is actually 4, not -6. Therefore, it cannot be less than the y-intercept of function Q, as that would require the y-intercept of function P to be negative.

B) The y-intercept of function P is 4 which is equal to the y-intercept of function Q.

This statement is misleading. While it correctly states that the y-intercept of function P is 4, it incorrectly claims that it is equal to the y-intercept of function Q, which is unknown and cannot be asserted as equal.

C) The y-intercept of function P is -6 which is greater than the y-intercept of function Q.

This option is incorrect since it states that the y-intercept of function P is -6, which is false. The correct y-intercept is 4, making this statement misleading and inaccurate.

D) The y-intercept of function P is 4 which is greater than the y-intercept of function Q.

This statement is correct. The y-intercept of function P is indeed 4, and since the exact value of the y-intercept of function Q is not provided, we can conclude that 4 is greater than an unspecified value, thus affirming the statement.

Conclusion

The correct answer, D, accurately reflects that the y-intercept of function P is 4, which is greater than the unspecified y-intercept of function Q. All other options fail either by misidentifying the y-intercept of function P or making incorrect comparisons with the y-intercept of function Q. Thus, option D stands out as the only valid comparison of the y-intercepts.