The graph of function f is shown. Function g is represented by the equation.

Which statement correctly compares the two functions?
A.
They have different y-intercepts but the same end behavior.
B.
They have different y-intercepts and different end behavior.
C.
They have the same y-intercept and the same end behavior.

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the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

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