First slide
Functions (XII)
Question

If f(x)=ax7+bx3+cx5 (a, b, c are real constants) and f7=7, then the range of f7+17cosx is

Moderate
Solution

f(7)+f(7)=10     f(7)=17

f(7)+17cosx=17+17cosx which has the range [-34, 0]

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