Question

Is the function y =|x – 7| a one-to-one function? Justify your answer.

Answer 1

Answer:

Yes

Step-by-step explanation:

Whenever you have an absolute value function it will always be a one-to-one function unless the slop of the line is altered.

Answer 2

We need to determine whether the given function is one-to-one.

The given function is not one-to-one as explained below.

The given function is $y=|x-7|$

In a one-to-one function each value of $y$ has only one value in $x$ and vice versa.

Let us use an example with the given equation.

$x=4$

$y=|4-7|=3$

$x=10$

$y=|10-7|=3$

So, for the same value of $y$ there are two values of $x$.

Hence, the given function is not one-to-one.

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