Question

Question 37? Graph each exponential functions and label three points on each graph?

Answer 1

Given:

`y=3^x`

At x = 0 then value of y is:

`\begin{gathered} y=3^x \\ x=0 \\ y=3^0 \\ y=1 \end{gathered}`

If the value of x is negative then:

`\begin{gathered} y=3^(-x) \\ y=(1)/(3^x) \end{gathered}`

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:

`\begin{gathered} y=3^x \\ y=3^2 \\ y=9 \end{gathered}`

So the second point is (2,9)

Thirds point is:

`\begin{gathered} y=3^x \\ x\text{ = -2} \\ y=3^(-2) \\ y=0.111 \end{gathered}`

So point is (-2,0.11)