Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that?

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Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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f'(x) = constant
a constant ratio?
arithmetic sequence has form, if the first term is a {a,a+k,a+2k,a+3k,...}

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Other answers:

not a constant ratio between them, a constant difference
oh i see now thank you
linear change, f(x)= degree 1 polynomial therefore f'(x) = constant

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