Posted by **Maria** on Tuesday, December 6, 2011 at 10:55pm.

Find the constants a & b such that the function f(x)={2 if ≤ -1

{ax+b if -1<x<3

{-2 if x ≥3

is continuous on the entire real line

- calculus -
**Reiny**, Tuesday, December 6, 2011 at 11:50pm
the left-side transition point is (-1,2)

so (-1,2) should satisfy y = ax+b

2 = -a + b

the right-side transition point is (3, -2)

so (3,-2) should also satisfy y = ax + b

-2 = 3a + b

subtract those two equations

4a = -4

a = -1

then b = 2+a = 2-1 = 1

a=-1 , b=1

## Answer This Question

## Related Questions

- calculus - find the constants a and b so that the function is continuous on the ...
- calculus - find the constants a and b so that the function is continuous on the ...
- Math - Find the constant a such that the function is continuous on the entire ...
- Math - Continuity - Determine the constants a and b so that the function f is ...
- Calculus - Find the constants a and b such that the function is continuous on ...
- Algebra 2 - Can someone explain this inequality equation to me please? I'm so ...
- Maths Please Help - Let A=a1,a2,…,ak and B=b1,b2,…,bj be sequences of positive ...
- Algebra 2 - Jack is selling wristbands and headbands to earn money for camp. He ...
- Calculus - If f(x) is a continuous function, find the constants a and b such ...
- Math - 1. Find the next number in the pattern. -1, 3, 7, 11 a. 16 b.77 c.15 <...

More Related Questions