159k views
2 votes
What is the end behavior of the radical function on the right side?

A) Negative Infinity
B) Positive Infinity
C) Zero
D) -6

User Huitlarc
by
7.8k points

1 Answer

5 votes

Final answer:

For the radical function on the right side, as x approaches positive infinity, the end behavior is expected to be that the function approaches positive infinity.

Step-by-step explanation:

To determine the end behavior of the radical function on the right side, it is important to understand the general behavior of radical functions as x approaches infinity. Typically, as x increases without bound in a radical function, assuming the radical is of an even index and the radicand includes a positive leading coefficient, the value of the function approaches positive infinity. Therefore, for the end behavior of the radical function on the right side as x approaches positive infinity, the reasonable expectation is that the value of the function also approaches positive infinity. Options A) Negative Infinity, C) Zero, and D) -6 would not typically describe the end behavior of a radical function with positive leading coefficient and an even index as x approaches positive infinity.

User Andreasbovens
by
7.1k points