# What is the domain and range of y=3x^2+5?

Sep 2, 2015

Domain = $\forall \mathbb{R}$ (all rational numbers)
Range = $\left[5 , + \infty\right)$

#### Explanation:

In simple English, domain is the set of numbers that you can put into the function.
you can put any number (value for $x$) into the function and get an answer (as $y$)

so the domain is all the rational numbers out there.

Range is the set of numbers that the function give out.

this is a quadratic function. you can easily draw a graph and determine its range =)

graph{3x^2+5 [-58.03, 58, -29, 29.03]}

range is the y coordinates that the graph is occupying.

Range = $\left[5 , + \infty\right)$