Answer:
[tex]f(x) = x^7[/tex]
Step-by-step explanation:
Given that Kim wanted to create a function that modeled an exponential function with base of 7
So the appropriate function would be
[tex]y=7^x[/tex]
which is exponential with base 7, passing through (0,1) and have range as only positive values of y.
y=0 will be an asymptote for this graph.
Other functions are wrong because
[tex]f(x) = x^7[/tex] is a polynomial funciton and not exponential
Similarly [tex]log_{7} x[/tex] is a logrithmic funciton and the next also
Hence right answer is option 2.
