one-to-one functions: example 1 and 2 (f(x) = x^3, f(x) = x^2)

[Illvoices]

so could someone tell me how'd example 1 got to be a one-to-one function, but example 2 wasn't?

1)Is the function f(x)⁼x³ one-to-one?

2)Is the function g(x)=x² one-to-one?

 

[ksdhart2]

What is your book's/class's definition of a "one-to-one" function? Does the function f(x)=x³ meet these criteria? Why or why not? Does the function g(x)=x² meet these criteria? Why or why not? Graphing these functions and visually inspecting their graphs may prove helpful here. Please share with us any and all work you've done on these problems, even the parts you know are wrong. Thank you.

If you need a refresher on one-to-one functions, try this page from the University of Houston.

 

[Illvoices]

What is your book's/class's definition of a "one-to-one" function? Does the function f(x)=x³ meet these criteria? Why or why not? Does the function g(x)=x² meet these criteria? Why or why not? Graphing these functions and visually inspecting their graphs may prove helpful here. Please share with us any and all work you've done on these problems, even the parts you know are wrong. Thank you.

If you need a refresher on one-to-one functions, try this page from the University of Houston.

okay