# Points, Vectors, and Functions

### Example 1

Graph the function defined by the parametric equations

### Example 2

Exercises. Graph the function described by the given parametric equations.

*x*(*t*) = t,*y*(*t*) = cos t for -π≤ t ≤ π

### Example 3

Exercises. Graph the function described by the given parametric equations.

*x*(*t*) = 4 + 2t,*y*(*t*) = 1 + t

### Example 4

Exercises. Graph the function described by the given parametric equations.

*x*(*t*) = cos t,*y*(*t*) = t for $-π≤ t≤ π

### Example 5

Gillian was asked to graph the function <*f*(*t*), *g*(*t*)> with *f*(*t*) and *g*(*t*) given by the following graphs:

She came up with this:

What did Gillian do wrong?

### Example 6

Graph the function < *f*(*t*), *g*(*t*)> where x = *f*(*t*) and y = *g*(*t*) are given by the graphs.

- PICTURE param graphs 14

### Example 7

Graph the function < *f*(*t*), *g*(*t*)> where x = *f*(*t*) and y = *g*(*t*) are given by the graphs.

- PICTURE param graphs 15

### Example 8

Graph the function < *f*(*t*), *g*(*t*)> where x = *f*(*t*) and y = *g*(*t*) are given by the graphs.