Question

The value -2 is a lower bound for the zeros of the function shown below.

f(x) = 4x^3 – 12x^2 - x + 15
A) True
B) False

Answer 1

The value -2 is not a lower bound for the zeros of the function.

Step-by-step explanation:

The value -2 is a lower bound for the zeros of the function f(x) = 4x^3 – 12x^2 - x + 15. To determine if this statement is true or false, we need to find the zeros of the function. Zeros are the values of x for which the function equals zero. There are different methods to find the zeros, but in this case, we can use synthetic division to test if -2 is a lower bound:

-2 | 4 -12 -1 15

| -8 40 -78

4 -20 -79 -63

The result of synthetic division shows that -2 is not a lower bound for the zeros of the function. Therefore, the answer to the question is False.