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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 -5 (when x = o)
2b = -5
b = -5/2
3a +5/2 = -3
a = -11/6
when i plug these a and b into the each equation i get
-5 as the answer for the first equation
-3 as the answer for the second equation
-5 as the answer for the third equation
why isn't the 2nd equation coming out to -5? i need them all to equal so they can be continuous. all the limits need to equal.