Question

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

Answer 1

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)`