### Home > PC > Chapter 10 > Lesson 10.2.1 > Problem10-70

10-70.

It is time you learned a useful notation which is frequently used in calculus and other math classes, but which looks very strange the first time you see it. The only new concept is how we write the functions of $t$ for $x$ and $y$. Before, we did not give the functions a name, but now we will. There is nothing new here except the fact that we are naming the function which defines $x$ as $x\left(t\right)$, so the same letter is used to denote both a variable and a function. This may look a little strange at first, but you will get used to it.

A curve in the plane is given parametrically by: $x = x\left(t\right) = 2^{t}$ and $y = y\left(t\right) = 4^{t}$.

Plot the curve for $−2 ≤ t ≤ 3$. Label your $t$ values as you go.

Complete a table like the one below. Then plot each $\left(x, y\right)$ point.

t

x

y

-2

-1

0

1

2

3