Question

Which statement is true about the function ( f(x) ) given that ( f(x) ) is an odd degree polynomial with a negative leading coefficient and ( f(-2) = 3, f(-1) = 5, f(0) = -9, ) and ( f(1) = -45 )?

A) The function has a degree of 4.
B) The function passes through the point (-1, 5).
C) The function has a positive leading coefficient.
D) The function has a y-intercept at (0, -9).

Answer 1

The function has a y-intercept at (0, -9). Hence the correct answer is option D

Step-by-step explanation:

The statement that is true about the function f(x) is: The function has a y-intercept at (0, -9).

An odd degree polynomial with a negative leading coefficient is a function that starts in one quadrant, crosses the x-axis, and ends in another quadrant. Since f(0) = -9, this means that the function crosses the y-axis at -9, which is equivalent to having a y-intercept at (0, -9).

Therefore, option D is correct.