Algebra/PreCalc
posted by Pamela .
Find the values for a and b such that f(x) is continuous on the interval 0 < or = to x < or = to 13.
{ 2x^2, 0 < or = to x < or = to 3
f(x) = { ax + 3, 3 < or = to x < or = to 7
{ b, 7 < or = to x < or = to 13
Can someone explain? Am I suppose to find the x, a, and b that would make all three sets equal to the same number?
Correction:
f(x) = { 2x^2, 0 < or = to x < 3
.......{ ax + 3, 3 < or = to x < 7
.......{ b, 7 < or = to x < or = to 13
the ....... is to align them, sorry.
If it is continous, then
2x^2= ax+3 at x=3 put x=3, and solve for a.
And, b= ax+3 at x=7, solve for b
Thank you, bobpursley! I didn't know that that is what they meant by continuous.
So a=5 and b=38?
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