Answer:
see the explanation
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by
[tex]f(x)=a(b^x)[/tex]
where
a is the initial value or y-intercept
b is the factor growth (b>0)
In this problem
a=1
so
[tex]f(x)=b^x[/tex]
we know that
The graph of the function has no x-intercept
Remember that the x-intercept of a function is the value of x when the value of the function is equal to zero
That means ----> The output of the function can NEVER be equal to zero
Verify
For f(x)=0
[tex]0=b^x[/tex]
Apply log both sides
[tex]log(0)=xlog(b)[/tex]
Remember that
log 0 is undefined. It's not a real number, because you can never get zero by raising anything to the power of anything else.
