2 years ago

How do I find the domain n range of this graph

Mathematics

1 answer:

motikmotik2 years ago

7 0

Domain = {-3, 2}

Range = All real numbers

We can represent the range in interval notation as $(-\infty, \infty)$ which is basically saying $-\infty < y < \infty$ . The range is all real numbers due to the arrows meaning the graph extends up and down forever. So any y value is possible.

Notice with the domain we only have 2 valid x values -3 and 2. No other x values are allowed. Normally we use an interval of some kind to set up the domain, but we only have a set of values instead. The curly braces indicate "set".

You might be interested in

Write the following in terms of sin θ only.<br> cot θ

sveta [45]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\\\\\\
sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)
\\\\\\
cos(\theta)=\pm\sqrt{1-sin^2(\theta)}\\\\
-----------------------------\\\\
cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}\implies cot(\theta)=\cfrac{\pm\sqrt{1-sin^2(\theta)}}{sin(\theta)}$