Homework SourseIf fx 4x2 x 5 find the following f1 f1 f1 fa fa 1 fa
If
f(x) = 4x2 x + 5,
find the following.
f(1)=
| f(1) = | |
| f(1)= | |
| f(a) = | |
| f(a + 1) = | |
| f(a + h) = | |
| f(a + h) - f(a) |
Solution
If f(x) = 4x2 -x +5, then
| f(1) = | 4*12 -1 + 5 = 4-1+5 = 8 |
| f(-1)= | 4*(-1)2 -(-1) +5 = 4+1+5 = 10 |
| f(a) = | 4*(a)2 -a +5 = 4a2 -a+5 |
| f(a+1)= | 4*(a+1)2 -(a+1) +5 = 4(a2+2a+1) -a+5 = 4a2+7a + 9 |
| f(a+h)= | 4*(a+h)2 -(a+h) +5 = 4(a2+2ah+h2) -a-h+ 5 = 4a2+8ah+4h2 -a-h+ 5 |
| f(a+h) -f(a) = | (4a2+8ah+4h2 -a-h+ 5) - (4a2 -a+5) = 4h2+8ah-h |
