Answer to Question #95053 in Algebra for nimun

Question

Find the domain and range of (f(x) = 4 – x^{2}), leaving your result in interval notation

Answer 1

Since any real value of a variable x can be squared, the function f(x) can be defined for any real value of the variable x. So, D(f)=(-∞;∞).

Since the function f(x) is the difference between the number 4 and some non-negative number obtained by squaring any real number x, the original function cannot take on values ​​greater than 4. Thus, R(f)=(-∞;4].