determine the domain and range of the relation shown below. list in either set notation or interval…
determine the domain and range of the relation shown below. list in either set notation or interval notation. domain: range:
Answer
Explanation:
Step1: Identify domain concept
Domain is set of all x - values.
Step2: Observe x - values on graph
The left - most x - value is at (x=-3) (open - circle) and the right - most is at (x = 5) (arrow - going to the right, so it extends to infinity).
Step3: Write domain in interval notation
The domain is ((-3,+\infty)) since the open - circle at (x=-3) means (-3) is not included.
Step4: Identify range concept
Range is set of all y - values.
Step5: Observe y - values on graph
The lowest y - value is at (y = 1) (closed - circle) and the highest is at (y=4) (arrow - going up, so it extends to infinity).
Step6: Write range in interval notation
The range is ([1,+\infty)) since the closed - circle at (y = 1) means (1) is included.
Answer:
Domain: ((-3,+\infty)) Range: ([1,+\infty))