Question

Which statement is true about the end behavior of the function represented by the graph?

As x approaches 1, f(x) approaches 25.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.
As x approaches −∞, f(x) approaches −4, and as x approaches ∞, f(x) approaches 7.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches ∞.

Answer 1

End behavior always involves x approaching positive and negative infinity. So we'll cross off the choice that says "x approaches 1".

The graphs shows both endpoints going down forever. So both endpoints are going to negative infinity regardless if x goes to either infinity.

Answer: Choice B

As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.

Another way to phrase this would be to say "f(x) approaches negative infinity when x goes to either positive or negative infinity"

Answer 2

Answer: the correct answer is B .

Step-by-step explanation: