Identify the function that contains the data

Option D is correct.i.e., f(x) = | x - 2 | + 1

Step-by-step explanation:

Function which satisfy the given data is our Ans.

So, we check for all functions.

Option A : f(x) = |x| + 1

put, x = -2

we get, f( -2 ) = |-2| + 1 = 2 + 1 = 3 ≠ 5

⇒f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.

Option B : f(x) = | x-2 |

put, x = -2

we get, f( -2 ) = | -2 - 2 |  = | -4 | = 4 ≠ 5

⇒f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.  

Option C : f(x) = | x-2 | - 1

put, x = -2

we get, f( -2 ) = | -2 - 2 | - 1  = | -4 | - 1 = 4 - 1 = 3 ≠ 5

⇒f ( -2 ) is not equal to given value of f ( -2 ).

Thus, This is not function of given data.  

Option D : f(x) = | x-2 | + 1

put, x = -2

we get, f( -2 ) = | -2 - 2 | + 1  = | -4 | + 1 = 4 + 1 = 5

⇒f ( -2 ) is  equal to given value of f ( -2 ).

put, x = 0

we get, f( 0 ) = | 0 - 2 | + 1  = | -2 | + 1 = 2 + 1 = 3

⇒f ( 0 ) is  equal to given value of f ( 0 ).

put, x = 2

we get, f( 2 ) = | 2 - 2 | + 1  = | 0 | + 1 = 0 + 1 = 1

⇒f ( 2 ) is  equal to given value of f ( 2 ).

put, x = 3

we get, f( 3 ) = | 3 - 2 | + 1  = | 1 | + 1 = 1 + 1 = 2

⇒f ( 3 ) is  equal to given value of f ( 3 ).

put, x = 5

we get, f( 5 ) = | 5 - 2 | + 1  = | 3 | + 1 = 3 + 1 = 4

⇒f ( 5 ) is  equal to given value of f ( 5 ).

Thus, This is function of given data.  

Therefore, Option D is correct.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !