- #1
rolylane
- 7
- 0
Hi there
I have a proof that I need to try to work out but I'm not really getting too far and need help if you could at all. The question is
Consider C [0,1] with the sup metric. Let f:[0,1]→R be the function given by f(x)=x²+2. Let B={g Є C[0,1]: 1 ≤ d(g,f) ≤ 3}
Describe the region in which the functions in B have their graphs
Let h:[0,1]→R be the function given by h(x)= 6x and Let k:[0,1]→R be the function given by k(x)=2+x/2. Is h Є B? Is k Є B?
Any help at all would be so great
Cheers
I have a proof that I need to try to work out but I'm not really getting too far and need help if you could at all. The question is
Consider C [0,1] with the sup metric. Let f:[0,1]→R be the function given by f(x)=x²+2. Let B={g Є C[0,1]: 1 ≤ d(g,f) ≤ 3}
Describe the region in which the functions in B have their graphs
Let h:[0,1]→R be the function given by h(x)= 6x and Let k:[0,1]→R be the function given by k(x)=2+x/2. Is h Є B? Is k Є B?
Any help at all would be so great
Cheers