## If f(x) = x – 5, then match each of the following. 1. f(-1) 0 2. f(0) 3 3. f(1) -4 4

Question

If f(x) = x – 5, then match each of the following.

1. f(-1) 0
2. f(0) 3
3. f(1) -4
4. f(2) -3
5. f(5) -5
6. f(8) -6

0

1. Answer:  The required match is given by

f(-1) = -6,

f(0) = -5,

f(1) = -4,

f(2) = -3,

f(5) = 0,

f(8) = 3.

Step-by-step explanation:  We are given a function f(x) defines as follows : We are to match the given values.

If x = -1,  then from equation (i), we get If x = 0,  then from equation (i), we get If x = 1,  then from equation (i), we get If x = 2,  then from equation (i), we get If x = 5,  then from equation (i), we get If x = 8,  then from equation (i), we get Thus, the required match is given by

f(-1) = -6,

f(0) = -5,

f(1) = -4,

f(2) = -3,

f(5) = 0,

f(8) = 3.

2. Substitute the values of x to the equation of a function f.

f(x) = x – 5

f(-1) = -1 – 5 = -6 ≠ 0

f(0) = 0 – 5 = -5 ≠ 3

f(1) = 1 – 5 = -4   🙂

f(2) = 2 – 5 = -3   🙂

f(5) = 5 – 5 = 0 ≠ -5

f(8) = 8 – 5 = 3 ≠ -6