Question

What is the end behavior of the function f(x) = 3x4−x3 + 2x2 + 4x + 5? (1 point)

Answer 1

Answer: both the left and right sides go to +∞

Step-by-step explanation:

End behavior can be determined by two things:

• Sign of the leading coefficient
• Degree of the function

Sign of leading coefficient:

positive: right side goes to +∞

negative: right side goes to -∞

⇒ Leading coefficient of this function is 3 so the right side goes to +∞

Degree (exponent of leading coefficient):

even: both the left and right sides point in the SAME direction

odd: the left and right sides point in OPPOSITE directions

⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.