Answer:
(a) Range: y ≥ -2
(b) Domain: All reals
Step-by-step explanation:
Domain and range help describe the values covered by a graph.
Domain
The domain is all of the x-values covered by a graph. Since x-values are the inputs, the domain describes the values that can be plugged into a function and have a defined output. The graph above has a domain of all reals. This is because any number can be input and give an output. All quadratic functions have a domain of all reals because eventually, the graph will cover every real x-value. This can be written as (-∞ ,∞) in interval notation.
Range
The range is every y-value covered by a graph. Y-values are the output of a function. So, range describes the values that can be found by plugging a number into the function and solving. The range is y ≥ -2. This means that the graph covers all y-values that are greater than -2. By looking at the graph you can see that the graph does not cover any y-values below -2. However, it will hit every y-value above y = -2. In interval notation, the range is [-2, ∞)
