Given the graph what are the intervals on which f is one-to-one (Simplify your answer).
We have a graph of the function and write the interval where given function 'f' is one-to-one.
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.
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 at same value of x, there are more than one y values.
So, from x = -2 to x =2 or [-2,2] grpah is not one-to-one.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 6 images