Question

Help please!!
Identify domain and range for the graph of:

Answer 1

please help me

Answer 2

i think its c....

Answer 3

When a function has a domain and range of all real numbers, that means you can plug in any x-value and you'll get any y-value

You can see that in your equation, we have x in the denominator

If x equals to a number that makes the denominator 0, then the entire function will be undefined. This means that the domain for the function is all real numbers EXCEPT the values of x that make the function undefined

For the range, it's all the possibly y-values that can result from the domain of the function. When you have a quadratic equation, you're going to have y-values that don't go past the vertex so your range is not all real numbers in that instance. Similarly, if you have an absolute value function, the y-values are limited. For example, think of the graph of y = |x|. There are no y-values that are negative so the range is from 0 to infinity

You can also always graph it and see if the function is undefined anywhere.

Answer 4

So for your question @artlover03

What x-value makes the function undefined?
Set the denominator equal to 0

Answer 5

You can also take a look at the graph
https://www.desmos.com/calculator/6r7qcb9tua

What are all the possible y-values?

Answer 6

\(\color{#0cbb34}{\text{Originally Posted by}}\) @artlover03
i think its c....
\(\color{#0cbb34}{\text{End of Quote}}\)

That's correct :)