If $f: R \rightarrow R$ is defined as $f(x) = \frac{x^6}{x^6+2020}$,for all $x \in R$,then the range of $f$ is .......

The range of the function $f(x) = \log_{0.5}(x^4 - 2x^2 + 3)$ is

Let $A = \{-4, -2, -1, 0, 3, 5\}$ and $f: A \rightarrow R$ be defined by $f(x) = \begin{cases} 3x - 1 & \text{for } x > 3 \\ x^2 + 1 & \text{for } -3 \leq x \leq 3 \\ 2x - 3 & \text{for } x < -3 \end{cases}$. Then the range of $f$ is

Domain of the function $\sqrt{\log \left\{ \frac{5x - x^2}{6} \right\}}$ is

The domain of the definition of the function $f(x) = \frac{1}{4-x^2} + \log_{10}(x^3-x)$ is

The range of the real valued function $f(x) = \frac{15}{3 \sin x + 4 \cos x + 10}$ is