Final answer:
To find the range of the given absolute value function, consider the possible values of x that satisfy the equation. The range of the function f(x) = 1x + 51 - 8 is (0, infinity), meaning it includes all positive real numbers.
Step-by-step explanation:
The absolute value function is defined as f(x) = |x|. In this case, the function is given as f(x) = 1x + 51 - 8. To find the range of this function, we need to consider the possible values of x that satisfy the given equation.
Since the absolute value function always returns a positive value, the expression 1x + 51 - 8 will always be positive. Therefore, the range of the function f(x) = 1x + 51 - 8 is (0, infinity), meaning it includes all positive real numbers.
This can be represented as [0, +∞) in interval notation.