If , where , , and are real constants, and , then the maximum value of…

MATHEMATICS · Numerical · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

If f(x)=ax7+bx3+cx−5f(x)=ax^7+bx^3+cx-5, where aa, bb, and cc are real constants, and f(−7)=7f(-7)=7, then the maximum value of ∣f(7)+17cos⁡x∣|f(7)+17\cos x| is

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