Given:
[tex]y=3^x[/tex]
At x = 0 then value of y is:
[tex]\begin{gathered} y=3^x \\ x=0 \\ y=3^0 \\ y=1 \end{gathered}[/tex]
If the value of x is negative then:
[tex]\begin{gathered} y=3^{-x} \\ y=\frac{1}{3^x} \end{gathered}[/tex]
So the value of y is decrease but not equal to zero.
If the value of x is positive and increase then the value "y" is rapidly increase.
So the graph is:
Three point of graph is:
First point is (0,1)
second point as x = 2 then y is:
[tex]\begin{gathered} y=3^x \\ y=3^2 \\ y=9 \end{gathered}[/tex]
So the second point is (2,9)
Thirds point is:
[tex]\begin{gathered} y=3^x \\ x\text{ = -2} \\ y=3^{-2} \\ y=0.111 \end{gathered}[/tex]
So point is (-2,0.11)
