Question

Sorry bad photo quality but does someone know the answer please

Answer 1

x | f(x)

6 | 8

-1 | 6

0 | 4

4 | 14

Explanation:

For x = 6:

f(6) = |-2(6) + 4| = |-12 + 4| = | -8 | = 8

For x = -1:

f(-1) = |-2(-1) + 4| = |2 + 4| = |6| = 6

For f(x) = 4:

|-2x + 4| = 4

-2x + 4 = 4 (Case 1)

-2x + 4 = -4 (Case 2)

Case 1:

-2x + 4 = 4

-2x = 0

x = 0

Case 2:

-2x + 4 = -4

-2x = -8

x = 4

For f(x) = 14:

|-2x + 4| = 14

-2x + 4 = 14 (Case 1)

-2x + 4 = -14 (Case 2)

Case 1:

-2x + 4 = 14

-2x = 10

x = -5

Case 2:

-2x + 4 = -14

-2x = -18

x = 9

Completing the table:

x | f(x)

6 | 8

-1 | 6

0 | 4

4 | 14