Question

Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

Step 1

We have a graph of the function and write the interval where given function 'f' is one-to-one.

Step 2

One-to-One function :

A function is one-to-one if and only if it never gives the same value for different x's or it must be different y value for each different x.

In other words, Given graph must be pass the Horizontal line test.

Here no horizontal line cuts the grpah more than one time.

Step 3

We check the given graph is one-to-one or not.

The horizontal lines blue, orange, green intercept the graph more than once,

It means ...

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