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

1 Answer
Sep 2, 2015

Answer:

Domain = #AA RR# (all rational numbers)
Range = #[5,+oo)#

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 = #[5,+oo)#