Question

For the function$\left(f\right)$ the set of all possible inputs is called …. of$\left(f\right)$ and the set of all possible outcomes is called …. of $\left(f\right)$.

Short answer

The set of all possible inputs is called (domain) of$\left(f\right)$ and the set of all possible outcomes is called (range) of $\left(f\right)$.

Step-by-step solution

Step 1. By definition of domain of a function.

Domain: The set of all possible inputs of a function is called domain of a function.

Step 2. By definition of range of a function.

Range: The set of all possible outputs of a function is called range of a function.

Step 3. Description of steps.

Consider a function $f\left(x\right)=\sin \left(x\right)$, whose domain is the all possible real numbers$\left(x\right)$ such that$x\in R$ (real). And the range of the function$f\left(x\right)=\sin \left(x\right)$ is $y\in \left[-1,1\right]$because range of the function is always in between -1 to 1 whatever is the possible value of$\left(x\right)$