question archive For how many numbers a is the function f(x) = { 2x + 2 if x<= a and 2x^2 if x> a Continuous?
For how many numbers a is the function f(x) = { 2x + 2 if x<= a and 2x^2 if x> a Continuous?
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For how many numbers a is the function f(x) = { 2x + 2 if x<= a and 2x^2 if x> a Continuous?
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Step-by-step explanation
For this to be continuous, the two sides must be equal. This means ?2a+2=2a2? or ?a2−a−1=0? meaning a is ?21±5??? by the quadratic formula.
