# If there is a graph of a ray, with the end point on (3,0). The line goes through (0, 2), and (-3, 4), What is the domain and range?

Jun 2, 2018

Domain: $x \le 3 \text{ or } \left(- \infty , 3\right]$
Range: $y \ge 0 \text{ or } \left[0 , \infty\right)$

#### Explanation:

Given: a ray with endpoint $\left(3 , 0\right)$ that goes through $\left(0 , 2\right)$ and $\left(- 3 , 4\right)$

The ray starts at $\left(3 , 0\right)$ and goes in the negative direction from quadrant 1 to quadrant 2.

The lowest point is the endpoint $\left(3 , 0\right)$. The point farthest to the right is also the endpoint.

Domain: $x \le 3 \text{ or } \left(- \infty , 3\right]$
Range: $y \ge 0 \text{ or } \left[0 , \infty\right)$