Question

The graph of every function from[0,1] to R is infinite give reason with example

Answer 1

Answer:

yes it is infinite

Step-by-step explanation:

You could extend 1/x2 to a continuous function from the real line into its two-point compactification [−∞,∞], simply by mapping 0 to ∞. This is not possible with 1/x, though you could extend that one to a continuous function into the one-point compactification of R. I haven't read Thomas' calculus text, but this is the only way I can think of to justify the statement.