23 eJob Training Checklist issues Returns 22 Let 4x2 fx fa b

e-Job Training Checklist issues Returns 22. Let 4x2. f(x) f(a) (b) Find for) f(-2) (a) Find x 2 For Exercises 23 and 24. let for 2. Find and simplify the indicated difference quotient. h) f() f(2 h) f(2) 24. (a) 23. (a) for h) fa) (b) (b) In Exercises 25-32 f(x) f(a) for each (a) Find the difference quotient function, as in Example 4 for each (b) Find the difference quotient

Solution

23 f(x) = x^2

a) { f( 2+ h) - f(2) } /(h)

f( 2+h) = (2+h)^2 ; f(2) = 4

{ f( 2+ h) - f(2) } /(h) ={ (2+h)^2 - 4}/h = { h^2 +4 +4h -4}/h = h+4

b) { f(x+h) - f(x) }/ h

= { (x+h)^2 -x^2 }/h = { x^2 +h^2 +2hx - x^2 }/h= h +2x