Question

f(x) = (x + 1)^3, with domain {x: x > 1}
The RANGE of the function f is

Answer 1

@madrockz

Answer 2

Range is the set of all y values the function can give under the condition of domain. Any ideas?

Answer 3

try reforming the domain the exercise gave you to find the range of the function f
in other words to go from x>1 to f(x)>something

Answer 4

not really. Im really new to this

Answer 5

This is a continuously-increasing function for x>1. The graph is shown as below:



So considering only x>1, can you deduce the range of f(x) (i.e. f(x) will span across which values)?

Answer 6

When x=1, f(x) = 2^3=8.
Since x>1, f(x)>8.
So the range of f(x) = (8, inf)

Answer 7

x>1 <=> x+1>1 <=>(x+1)^3>1<=>f(x)>1