Question

Graph each piecewise function. Then identify the properties.

Answer 1

Domain: (-∞, 1]\ U (1, ∞): All real numbers.

Range: [-1, ∞)

Explanation:

This function is composed of two quadratic polynomial functions whose domain is all real numbers.

Observe in the graph that the function is continuous for the entire domain, it does not have any leap. Then, both parables have a minimum value. y = 1 and y = -1. Then we can conclude that for this piecewise function:

Domain: (-∞, 1]\ U (1, ∞): All real numbers.

Range: [-1, ∞)