f (x)=|3-2x|-2|x|^2 domain and range
You asked:
Find the domain and the range of \(f\left( x \right) = \left\lvert 3 - 2 x\right\rvert - 2 \cdot {\left\lvert x\right\rvert}^{2}\)
MathBot Answer:
Domain
Set notation:
\(\displaystyle\mathbb{R}\)
Interval notation:
\(\displaystyle\left(-\infty, \infty\right)\)
Range
Set notation:
\(\displaystyle\left\{f \in \mathbb{R}:f \leq \frac{7}{2}\right\}\)
Interval notation:
\(\displaystyle\left(-\infty, \frac{7}{2}\right]\)