Examine whether the following function is one to one , onto , both or neither . f:(-2,2) \longrightarrow R defined by f(x) = \tt {x}^(2) Help!:)​

Question

Examine whether the following function is one to one , onto , both or neither .

f:(-2,2)
`\longrightarrow` R defined by f(x) =
`\tt {x}^(2)`
Help!:)​

Answer 1

Onto

Explanation:

Yes this is a onto function.

The function f(x)=x^2, is symmetric about the y-axis, so every non zero number,x, that gets an output of y, there is a another number,-x, that get the same output

That means two x values map to the same y value.

So this function is an onto function