gaokao 2022 Q10

gaokao · China · national-I Stationary points and optimisation Find critical points and classify extrema of a given function

10. Given the function $f ( x ) = x ^ { 3 } - x + 1$, then
A. $f ( x )$ has two extreme points
B. $f ( x )$ has three zeros
C. The point $( 0,1 )$ is a center of symmetry of the curve $y = f ( x )$
D. The line $y = 2 x$ is a tangent line to the curve $y = f ( x )$

10. Given the function $f ( x ) = x ^ { 3 } - x + 1$, then\\
A. $f ( x )$ has two extreme points\\
B. $f ( x )$ has three zeros\\
C. The point $( 0,1 )$ is a center of symmetry of the curve $y = f ( x )$\\
D. The line $y = 2 x$ is a tangent line to the curve $y = f ( x )$

Paper Questions

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