If f(x)f(x) is an exponential function where f(2)=23f(2)=23 and f(3)=58f(3)=58, then find the value of f(6)f(6), to the nearest hundredth.

We know by the given information that  f(4)=2=ab4  and that  f(7.5)=72=ab7.5 .

We can see that  f(7.5)f(4)=722=ab7.5ab4

36=b7.5b4

36=b3.5

1296=b7

b=647

f(4)=ab4

2=a×129647

2=a×6167

a=26167

Now,  f(9.5)=ab9.5

=26167⋅(647)192

=26167⋅6387

=2⋅6227

≈558.02

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

41*67/2=1373.5

step-by-step explanation:

i just used a calculator