Answer: left side approaches -∞ and right side approaches +∞
Step-by-step explanation:
End behavior can be determined by two things:
- Sign of leading coefficient
- Degree of function
Sign
positive: right side goes to +∞
negative: right side goes to -∞
⇒ the function is positive so the right side will go to +∞
Degree
even degree: same direction (for left and right sides)
odd degree: opposite directions (for left and right sides)
⇒ the function has a degree of 11 (add the exponents of 7 and 4 to get the degree) so the left and right sides will go in opposite directions.
