Question

2.

Answer 1

Given:

x gets  larger and larger in the negative direction.

To find:

The polynomial function which gets larger and larger in the negative direction.

Solution:

In options a, c and d, degree of polynomials are even and leading coefficient is positive. So,

$f(x)\to \infty\text{ as }x\to -\infty$

In option b, degree of polynomial is odd and leading coefficient is positive. So,

$f(x)\to -\infty\text{ as }x\to -\infty$

Therefore, the function in option b, $f(x)=6x^3+4x^2-15x+32$ gets larger and larger in the negative direction as x gets  larger and larger in the negative direction.

Hence, the correct option is b.