Question

:(

Answer 1

Answer:

b

Step-by-step explanation:

1. the function will approach negative infinity as x approaches neg/pos infinity because -x^4 (highest power) will result in both ends pointing down. this rules out a and d.

2. skip the Maxima/minima part

3. to test for zeroes, list all possible zeroes using rational zero theorem. then use synthetic division to test out the differing zeroes between b and c.

we find -5 leaves us with remainder of 0, so it is a zero where as -7 leaves us with some remainder that isn't 0, so it is not a zero.

the only option with the function approaching negative infinity with a zero at -5 is b