Functions, Graphs, and Limits Exercises

Example 1

Let y = f(x) = -x² + 1. If x is greater than zero, and getting larger, is y getting larger or smaller?

Example 2

Let y = f(x) = -x² + 1. If x is greater than zero, and getting smaller, is y getting larger or smaller?

Example 3

Let y = f(x) = -x² + 1. If x is less than zero, and getting smaller, is y getting larger or smaller?

Example 4

Let y = f(x) = -x² + 1. If x is less than zero, and getting larger, is y getting larger or smaller?

Example 5

Let y = f(x) = -x² + 1. As x gets close to zero, what does y approach?