Question 557968
the graph of your equations looks like the following:
{{{graph(600,600,-10,10,-100,100,3x,3x^2,3^x)}}}
the straight line is y = 3x
the line that looks like the letter u is y = 3x^2
that's a quadratic equation.
the line that looks like it goes from 0 all the way to the left to a very high number all the way to the right is y = 3^x
that's an exponential equation.
a table of values from -5 to 5 would look like this:
<pre>
x      y = 3x     y = 3x^2     y = 3^x
-5     -15        75           .004115226 = 3^(-5) = 1/3^5 = 1/243
-4     -12        48           .012345679 = 3^(-4) = 1/3^4 = 1/81
-3     -9         27           .037037037 = 3^(-3) = 1/3^3 = 1/27
-2     -6         12           .111111111 = 3^(-2) = 1/3^2 = 1/9
-1     -3         3            .333333333 = 3^(-1) = 1/3   = 1/3
0      0          0            1
1      3          3            3
2      6          12           9
3      9          27           27
4      12         48           81
5      15         75           243
</pre>