**Question 1: **Calculate the difference in quotient of function 2x+6?

** Solution: **

The given function is,

f(x) = 2x + 6

so f(x + h) = 2(x + h) + 6

= 2x + 2h + 6

Then the difference is given by,

f(x + h) - f(x) = 2x + 2h + 6 - (2x + 6)

= 2x + 2h + 6 - 2x - 6

= 2h

Difference quotient is given by,

$\frac{2h}{h}$

= 2

**Question 2: **Find out the difference in quotient if the function is 5x + 8?

** Solution: **

The given function is,

f(x) = 5x + 8

f(x + h) = 5 (x + h) + 8

= 5x + 5h + 8

Then the difference is given by,

f(x + h) - f(x) = 5x + 5h + 8 - (5x + 8)

= 5x + 5h + 8 - 5x - 8

= 5h

Difference quotient is given by,

$\frac{5h}{h}$

= 5