Determine the intervals on which $f$ is increasing or decreasing for the domain mentioned in each case.
f(x)=4−x2f(x) = 4 - x^2f(x)=4−x2; x∈R=(−∞,∞)x \in \mathbb{R} = (-\infty, \infty)x∈R=(−∞,∞)
Discuss theoretical concepts, mathematical formulas, and architectural foundations.
`backticks`