What is the domain and range of f(x) = 2|x - 4|?

Solution:

Given f(x) = 2|x - 4|

Take sample values of x and plot the graph. The graph is V-shaped with a vertex right at (4, 0)

The domain of a function is the set of all possible inputs for the function.

Hence, the domain is (-∞, ∞)

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Range is y ≥ 0

domain = (-∞, ∞),{x ∈ R} and range = {0, ∞ }, {y, y ≥ 0}

What is the domain and range of f(x) = 2|x - 4|?

Summary:

The domain and range of f(x) = 2|x - 4| is domain = (-∞, ∞),{x ∈ R} and range = {0, ∞ }, {y, y ≥ 0} respectively.