Answer:
Thus, the 2nd or lower graph represents the graph of [tex]y\:=\:4^x[/tex].
The correct graph is also attached below.
Step-by-step explanation:
Given the function
[tex]y\:=\:4^x[/tex]
Let us determine the y-intercept by setting x=0, and then determining the corresponding y-value.
now substituting x = 0 in the function
[tex]y=\:4^0\:[/tex]
Apply the rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]y = 1[/tex]
Thus, the y-intercept is (0, 1)
Now, if we closely observe the 2nd graph or lower graph, the y-intercept of the lower graph is (0, 1)
Thus, the 2nd or lower graph represents the graph of [tex]y\:=\:4^x[/tex].
The correct graph is also attached below.
