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

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

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

Let us use an example with the given equation.

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

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

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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.

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional