Checkpoint: Domain and Range of Reciprocal Functions Solution

Name a, h, and k. Determine the domain and range of the reciprocal function.

$g (x) = \frac{3}{x - 11} + 7$

$a = 3, h = 11, k = 7 Domain : \{x | x \in ℝ, x \neq 11\} Range : \{y | y \in ℝ, x \neq 7\}$

Note

Q: Why is it important to find the values of a, h, and k?

A: Because h and k help determine the domain and range, and a determines what the graph will look like (reflection, stretch, compression).  

You may want to see what the graph looks like before naming the domain and range. You can use technology and More to Explore to learn how to do this.