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Points, Vectors, and Functions

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.

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