Explanation
By definition, a one-to-one function is a function that maps distinct elements of its domain to distinct elements of its codomain.
Graph 1
From this graph, we see that for distinct elements of x, we have the same value of y. For example:So this function is NO a one-to-one function.
• f(2) = f(-2) = 4.
T
Graph 2
From this graph, we see that for distinct elements of x, we have the same value of y. For example:is function is NO a one-to-one function
• f(2) = f(4) = 4.
Th.
Graph 3
From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.
Graph 4
From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.
Graph 5
From this graph, we see that for distinct elements of x, we have different values of y.This function is a one-to-one function.
Graph 6
From this graph, we see that for distinct elements of x, we have the same value of y.This function is NO a one-to-one function.
Answer
• Graph 1: No
,
• Graph 2: No
,
• Graph 3: Yes
,
• Graph 4: Yes
,
• Graph 5: Yes
,
• Graph 6: No
