Answer:
(2,6)
Step-by-step explanation:
The options of the questions are
(0,1) (1,3) (2,6) (3,27)
and the given function is [tex]y=3^x[/tex]
we know that
If a ordered pair lie on the graph of the given equation, then the ordered pair must satisfy the given equation
Verify each ordered pair
case 1) (0,1)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]1=3^0[/tex]
[tex]1=1[/tex] ----> is true
so
The ordered pair lie on the graph of the given equation
case 2) (1,3)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]3=3^1[/tex]
[tex]3=3[/tex] ----> is true
so
The ordered pair lie on the graph of the given equation
case 3) (2,6)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]6=3^2[/tex]
[tex]6=9[/tex] ----> is not true
so
The ordered pair not lie on the graph of the given equation
case 4) (3,27)
substitute the value of x and the value of y in the linear equation and then compare the results
[tex]27=3^3[/tex]
[tex]27=27[/tex] ----> is true
so
The ordered pair lie on the graph of the given equation
