What Is The Right-hand And Left-hand Behavior Of The Graph Of The Polynomial Function?
F(x)=x^10,000
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Because the exponent is even, the function is even. This means there is an axis of symmetry at x=0 about which the graph is reflected.
The curve itself goes through the point (1,1), but rapidly heads off toward positive infinity when x>1, and rapidly heads toward 0 when x<1. The same is true on the left side of x=0. For x<-1, the value of F(x) is very large very fast; for x>-1, the value of F(x) is very near zero.
The curve includes the points (0,0) and (-1,1).
For x = ±.999, F(x) ≈ .000045
For x = ±1.001, F(x) ≈ 22,000
The curve itself goes through the point (1,1), but rapidly heads off toward positive infinity when x>1, and rapidly heads toward 0 when x<1. The same is true on the left side of x=0. For x<-1, the value of F(x) is very large very fast; for x>-1, the value of F(x) is very near zero.
The curve includes the points (0,0) and (-1,1).
For x = ±.999, F(x) ≈ .000045
For x = ±1.001, F(x) ≈ 22,000
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