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1. Complete:
The function is _______f(x)=xx+1f(x)=\frac{x}{x+1}f(x)=x+1x ____on (−1,∞)(-1,∞)(−1,∞) .
Increasing
decreasing
constant
Complete:
The function f(x)=1x2f\left(x\right)=\frac{1}{x^2}f(x)=x21 is ___________on (−∞, 0).
The function f(x)=−1x2f\left(x\right)=-\frac{1}{x^2}f(x)=−x21 is ___________on (0,∞)(0,∞)(0,∞) .
The function f(x)=x+1x−1f\left(x\right)=\frac{x+1}{x-1}f(x)=x−1x+1 is ___________on (−∞,1)(−∞,1)(−∞,1) .
The function f(x)=1x2f\left(x\right)=\frac{1}{x^2}f(x)=x21 is ___________on (0,∞)(0,∞)(0,∞) .
The function f(x)=1x+1f\left(x\right)=\frac{1}{x+1}f(x)=x+11 is ___________on (−1,∞)(-1,∞)(−1,∞)
The function f(x)= x22x+1f\left(x\right)=\ \frac{x^2}{2x+1}f(x)= 2x+1x2 is ___________on (−∞,−1)(-∞,-1)(−∞,−1) .
The function f(x)=xx+1f\left(x\right)=\frac{x}{x+1}f(x)=x+1x is ___________on (−∞,−1)(−∞,-1)(−∞,−1) .
The function f(x)=−1x2f\left(x\right)=\frac{-1}{x^2}f(x)=x2−1 is ___________on (−∞,0)(−∞,0)(−∞,0) .
The function f(x)= x22x+1f\left(x\right)=\ \frac{x^2}{2x+1}f(x)= 2x+1x2 is ___________on (0,∞)(0,∞)(0,∞)
It is done.