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

Question

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

anonymous · Answer

@madrockz

aravindg · Answer

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

anonymous · Answer

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

anonymous · Answer

not really. Im really new to this

shiraz14 · Answer

This is a continuously-increasing function for x>1. The graph is shown as below:

|dw:1398189566961:dw|

So considering only x>1, can you deduce the range of f(x) (i.e. f(x) will span across which values)?

shiraz14 · Answer

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

anonymous · Answer

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