Compare the functions f(x)=8x and g(x)=log8x . The graph of f(x) contains the points (1,8) and (−1,0.125) . Select the answer choice that contains two points on the graph of g(x) .(1 point) Responses (1,8) and (−1,0.125) left parenthesis 1 comma 8 right parenthesis and left parenthesis negative 1 comma 0.125 right parenthesis (−1,−8) and (1,−0.125) left parenthesis negative 1 comma negative 8 right parenthesis and left parenthesis 1 comma negative 0.125 right parenthesis (8,1) and (0.125,−1) left parenthesis 8 comma 1 right parenthesis and left parenthesis 0.125 comma negative 1 right parenthesis (1,0.125) and (−1,8)
The function f(x) is a linear function with a slope of 8. From the given points (1,8) and (-1,0.125), we can see that the graph of f(x) is increasing and passes through the positive y-axis.
On the other hand, the function g(x) is a logarithmic function with a base of 8. The logarithm of a negative number is not defined in the real number system, so g(x) is only defined for positive values of x.
From the given points (1,8) and (-1,0.125), we can see that both x-values are positive, so both points could potentially be on the graph of g(x).
The correct answer is (1,0.125) and (-1,8).