Question

函數(shù)f（x）=2^x和g（x）=x³的圖象如圖所示，則圖中曲線C₁，C₂對(duì)應(yīng)的函數(shù)分別為

g（x）=x³

，

f（x）=2^x

．

Answer 1

分析：函數(shù)f（x）=2^x的圖象恒在x軸上方，g（x）=x³的圖象關(guān)于原點(diǎn)對(duì)稱，由此可得結(jié)論．

解答：解：∵函數(shù)f（x）=2^x的圖象恒在x軸上方，g（x）=x³的圖象關(guān)于原點(diǎn)對(duì)稱，
∴C₁對(duì)應(yīng)的函數(shù)為g（x）=x³，C₂對(duì)應(yīng)的函數(shù)為f（x）=2^x．
故答案為：g（x）=x³　f（x）=2^x．

點(diǎn)評(píng)：本題考查函數(shù)的圖象，考查數(shù)形結(jié)合的數(shù)學(xué)思想，考查學(xué)生分析解決問(wèn)題的能力，屬于中檔題．