Question

Best estimate for domain and range

Answer 1

Answer: The domain is $-\infty < x < \infty$ (or $(-\infty,\infty)$ in interval notation). The range is $y\geq 3$ (or $[3,\infty)$ in interval notation).

Step-by-step explanation:

The domain is $-\infty < x < \infty$ because quadratic functions always extend forever in either direction along the x-axis. You do not include infinity because these values are not actually numbers.

The range is $y\geq 3$ because the y-value of the vertex as shown in the graph is 3, and the graph is a positive graph. You include the 3 because when x=0, y=3.