Posted by Anonymous on Saturday, September 24, 2011 at 2:54pm.
Let f be defined as follows:
h(x)=
x3 for x greater than or equal to 1
ax+b for 2<x<1
x(squared) for x less than or equal to 2
Find the values of "a" and "b" that make h(x) continous.
I'm a bit stumped on how to go about solving this one. Help would be greatly appreciated. :)

calculus  Reiny, Saturday, September 24, 2011 at 3:16pm
look at the transition points, they should be the same.
when x = 1
h(x) = x  3 = 13 = 4
h(1) = a + b
so a+b = 4
h(2) for ax+b = 2a+b
h(2) for x^2 = 4
so 2a + b = 4
a+b = 4
2a +b = 4
subtract:
3a = 8
a = 8/3,
back in a+b= 4
8/3+b = 4
b = 20/3
a = 8/3 , b = 20/3
Answer This Question
Related Questions
 Calculus Quiz Today  1. find the values of s for which each function is ...
 Maths  If Q(x)=x^2 for x less than or equal to 1 =ax+b for 1<x<2 = x^25 ...
 math  7. The tennis team is selling key chains as a fundraiser. If its goal is ...
 math  State the null hypothesis, Ho, and the alternative hypothesis, Ha, that ...
 math  1. find the values of s for which each function is continous: f(x) = [ x ...
 calculus  Find the values of a and b that make f continuous everywhere. (Enter ...
 math/calculus  The function f is defined as follows: f(x)={x+6 if 5 less than ...
 Calculus c  Let f be a twicedifferentiable function defined on the interval 1...
 calculus  Consider the function f(x)=65x−cos(x)+2 on the interval 0 less ...
 Math  Hi everyone, my name is Emerson. I was wondering if anybody could help me...
More Related Questions