Posted by Jona on Wednesday, November 7, 2007 at 9:36pm.
Determine the constants a and b so that the function f is continuous on the entire real line:
f(x) = 2 , x=<1
ax + b , 1<x<3
2 , x>=3
could someone help me with this question please? thank you.

Math  Continuity  drwls, Wednesday, November 7, 2007 at 11:47pm
For continuity at x=1, ax + b must equal 2 at x=1
Therefore a + b = 2
For continuity at x=3, ax+b must equal 2 there.
Therefore 3a + b = 2
Solve those two equations in two unknowns for a and b.
4a = 4
a = 1
b = 2 + a = ?

Math  Continuity  Jona, Thursday, November 8, 2007 at 7:57am
THANK YOU!!
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