Answer:
For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers
the range of the function is: all numbers greater than or equal to 2
Step-by-step explanation:
We need to find the domain and range of the function f(x)= -|x| + 2.
Domain: Domain is defined as all the possible x values of x for which the function is true.
Range: Range is defined as all the possible y values.
So, For the given function f(x)= -|x| + 2
the domain of the function is: All real numbers (the function is true for all real numbers)
the range of the function is: all numbers greater than or equal to 2
(When solving the equation we will have value of f(x) equal or greater than 2)