Recent content by ful

thank you very much

I understand the concept now. I got a = -2 and b = -2. In general, for a function to be continuous, doesn't the limit and functional value have to equal?

i got a= -2 and b=-2

ok I am am trying it again

w hen x= 0 ax +2b = 3a -b b= 3a/2 - b/2 when x=1 x2 +3a -b = 2x-5 1 + 3a-b = 2x-5 3a-b = -4 3a - (3a/2+b/2) = -4 6a +2b = -8 a= -1, b= -1 when I plug in a=-1 b=-1 and x=o to (ax + 2b) = -2 (x2 +3a -b) = -2 both equations at x=0 give me -2 .is this correct? the last...

Homework Statement Find values for a and b that ensure f is a continuous function if f(x) = ax + 2b if x ≤ 0 x2 +3a - b if 0 < x ≤ 1 2x - 5 if x > 1 Homework Equations The Attempt at a Solution ax + 2b = 2x...