Students in your class were asked to explain the end behavior of f(x). Analyze the two responses below and determine which student is correct and why:
Student 1: As x approaches negative infinity, f(x) approaches negative infinity, and as x approaches positive infinity, f(x) approaches positive infinity.
Student 2: f(x) is decreasing on the interval (-∞, 0) and increasing on the interval (0, ∞).
Student 1 is correct because the graph of f(x) is in quadrants III and IV.
Student 2 is correct because as you read the graph from left to right, the values get smaller.