A geometric sequence has an initial value of one-half and a common ratio of 8. Write an exponential function to represent this sequence.

(1 point)
Responses

f left-parenthesis x right-parenthesis equals 8 times left-parenthesis one-half right-parenthesis superscript x baseline
Image with alt text: f left-parenthesis x right-parenthesis equals 8 times left-parenthesis one-half right-parenthesis superscript x baseline

f left-parenthesis x right-parenthesis equals 8 times left-parenthesis one-half right-parenthesis superscript x minus 1 baseline
Image with alt text: f left-parenthesis x right-parenthesis equals 8 times left-parenthesis one-half right-parenthesis superscript x minus 1 baseline

f left-parenthesis x right-parenthesis equals one-half times 8 superscript x baseline
Image with alt text: f left-parenthesis x right-parenthesis equals one-half times 8 superscript x baseline

f left-parenthesis x right-parenthesis equals one-half times 8 superscript x minus 1 baseline

The correct answer is:

f(x) = (1/2) * 8^x