Let fx 2x2 3x 1 a Calculate f3 b Calculate f2 f2 a Find
Let f(x) = 2x^2 - 3x + 1 a) Calculate f(-3) b) Calculate f(2) - f(-2) a) Find and simplify f(x + h) d) Find the simplify f(x + h) - f(x)/h
Solution
2) f(x) =2x2-3x+1
a)f(-3)=2(-3)2-3(-3)+1
f(-3)=18+9+1
f(-3)=28
b)f(2)-f(-2)
=(2(2)2-3(2)+1)-(2(-2)2-3(-2)+1)
=(8-6+1)-(8+6+1)
=-12
c) f(x+h) =2(x+h)2-3(x+h)+1
f(x+h) =2(x2+2xh+h2)-3x-3h+1
f(x+h) =2x2+4xh+2h2-3x-3h+1
d)[f(x+h)-f(x)]/h
=[2x2+4xh+2h2-3x-3h+1 -2x2+3x-1]/h
=[4xh+2h2-3h]/h
=4x +2h -3
