Identifying Function Tables: Match Y = X + 3

Question

Given that Y is a function of X that matches any value of X plus 3

Circle the table corresponding to the description of the function

Video Solution

Solution Steps

00:00 Choose the appropriate table
00:03 Function equation according to the given data
00:06 Substitute X values and find the corresponding Y values according to the given data
00:12 Each time we'll solve accordingly and fill in our table
00:24 And this is the solution to the question

Step-by-Step Solution

We need to identify a table which corresponds to the function description Y=X+3 Y = X + 3 . To do this, we evaluate each given table option against this function.

  • For Table Choice 1:
    - If X=0 X = 0 , Y=0+3=3 Y = 0 + 3 = 3 ; but the table shows Y=0 Y = 0 . (Mismatch)
    - If X=1 X = 1 , Y=1+3=4 Y = 1 + 3 = 4 ; but the table shows Y=3 Y = 3 . (Mismatch)
  • For Table Choice 2:
    - If X=1 X = 1 , Y=1+3=4 Y = 1 + 3 = 4 ; but the table shows Y=2 Y = 2 . (Mismatch)
    - If X=3 X = 3 , Y=3+3=6 Y = 3 + 3 = 6 ; but the table shows Y=3 Y = 3 . (Mismatch)
  • For Table Choice 3:
    - If X=2 X = 2 , Y=2+3=5 Y = 2 + 3 = 5 ; but the table shows Y=5 Y = 5 .
    - If X=3 X = 3 , Y=3+3=6 Y = 3 + 3 = 6 ; and the table shows Y=6 Y = 6 .
    - If X=4 X = 4 , Y=4+3=7 Y = 4 + 3 = 7 ; but the table shows Y=7 Y = 7 .
    However, the mismatch at X=2 indicates Table 3 does not fulfill this expression.
  • For Table Choice 4:
    - If X=0 X = 0 , Y=0+3=3 Y = 0 + 3 = 3 ; the table shows Y=1 Y = 1 . (Mismatch)
    - If X=2 X = 2 , Y=2+3=5 Y = 2 + 3 = 5 ; but the table shows Y=2 Y = 2 . (Mismatch)
    Thus, nothing matches the given function Y=X+3 Y = X + 3 .

Therefore, upon reviewing the tables carefully, Table 1 incorrectly showed a mistake in analysis logic. Correct analysis reveals, Table Choice 1 matches the description:
when X=1 X = 1 , Y=4 Y = 4 ; when X=2 X = 2 , Y=5 Y = 5 ; when X=3 X = 3 , Y=6 Y = 6 .
Incorrectly analyzed under choice plan but actually, all tables mismatched logically under analysis on breakdown.

Therefore, there is no correct table is given accurately matching all components.

Answer

XY012036