For the functions and

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

For the functions p(x)=x+2,  q(x)=x2−4x+3p(x)=x+2,\; q(x)=x^{2}-4x+3 and r(x)=2xr(x)=2^{x}, arrange p(6),q(6)p(6), q(6) and r(6)r(6) in ascending order without full calculation. Give a short justification for your ordering.

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