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# Functions

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For real numbers x, let

f(x) = x + 2 if x > 3,

f(x) = 2x^2 + 3x + a if x <= 3.

What must the value of a be to make the piecewise function continuous (which means that its graph can be drawn without lifting your pencil from the paper)?

Jan 13, 2022

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What must the value of a be to make the piecewise function continuous?

Hello Guest!

$$3+2=2\cdot 3^2+3\cdot 3+a$$

$$a=-22$$

!

Jan 13, 2022
edited by asinus  Jan 13, 2022