# Functions, Graphs, and Limits

### Example 1

Let *y* = *f*(*x*) = -*x*^{2} + 1.

- If
*x*is greater than zero, and getting larger, is*y*getting larger or smaller?

### Example 2

Let *y* = *f*(*x*) = -*x*^{2} + 1.

- If
*x*is greater than zero, and getting smaller, is*y*getting larger or smaller?

### Example 3

Let *y* = *f*(*x*) = -*x*^{2} + 1.

- If
*x*is less than zero, and getting smaller, is*y*getting larger or smaller?

### Example 4

Let *y* = *f*(*x*) = -*x*^{2} + 1.

- If
*x*is less than zero, and getting larger, is*y*getting larger or smaller?

### Example 5

Let *y* = *f*(*x*) = -*x*^{2} + 1.

- As
*x*gets close to zero, what does*y*approach?