Answer:
Option B is correct.
Step-by-step explanation:
The exponential function is in the form of :
[tex]y = ab^x[/tex]
where, a is the initial value and b is the growth rate.
If b > 1 , then the graph is exponentially growth.
If 0< b< 1, then the graph is exponentially decay.
Given the exponential function:
[tex]f(x)=y = 3^x[/tex]
on comparing with [1] we have;
a =1 and b = 3 > 1
⇒ the function is exponentially growth.
y-intercept:
Substitute x = 0 and solve for y:
then;
[tex]y = 3^0 = 1[/tex]
y-intercept = (0, 1)
or
Initial value = 1
End behavior:
If [tex]x \rightarrow \infty[/tex], then [tex]f(x) \rightarrow \infty[/tex]
and
If [tex]x \rightarrow -\infty[/tex], then [tex]f(x) \rightarrow 0[/tex]
Therefore, the option B is correct.
