Question

How do you find the range in a function like this:

f(x)= |3x-1|+2

Answer 1

Do you know how to do transformations on the absolute value function?

Like, horizontal and vertical shifts?

Answer 2

|3x-1|is equals 0 at the very least. so the function equals 0+2=2 at the very least so the range is [2, ∞)

Answer 3

but how do I know that it equals 2 at the very least?

Answer 4

What is the smallest vale that |anything| can take on?

Answer 5

*value

Answer 6

the absolute value always equals 0 at the very least and 0+2=2

Answer 7

so |3x-1| =0 ? and then I just add the 2?

Answer 8

@IBstudent yes dude (:

Answer 9

my english isn't good, sorry (:

Answer 10

Thank you :D and your english is alright!!!

Answer 11

Do you UNDERSTAND it, @IBstudent ? Do you know what range is? Do you know the connection between range and the graph, and what the graph of this function looks like?