f(x)= |x|^2 -2|x| domain and range
You asked:
Find the domain and the range of \(f\left( x \right) = {\left\lvert x\right\rvert}^{2} - 2 \cdot \left\lvert x\right\rvert\)
MathBot Answer:
Domain
Set notation:
\(\displaystyle\mathbb{R}\)
Interval notation:
\(\displaystyle\left(-\infty, \infty\right)\)
Range
Set notation:
\(\displaystyle\left\{f \in \mathbb{R}:f \geq -1\right\}\)
Interval notation:
\(\displaystyle\left[-1, \infty\right)\)