Question

Please help meeee

from edge about graphing an absolute value function

determine the domain and range of the function f(x)= -|x| + 2.
the domain of the function is__________
the range of the function is__________

the options are: all real numbers, all numbers greater than or equal to 2, and all numbers less than or equal to 2

Answer 1

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

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)