Determine-the-value-of-a-and-b-that-make-the-function-f-x-continuity-f-x-x-3-x-4-2ax-b-x-4-x-2-3-x-4-

Question Number 180485 by moh777 last updated on 12/Nov/22

D e t e r m i n e t h e v a l u e o f a a n d b,

t h a t m a k e t h e f u n c t i o n f (x) c o n t i n u i t y

f (x) = {\begin{cases} x + 3, x ≨ 4 \\ 2 a x + b, x = 4 \\ x^{2} - 3, x ≩ 4 \end{cases}

Commented by Frix last updated on 12/Nov/22

this is not possible, check the question

\lim_{x \to 4^{-}} f (x) = 7 \neq 13 = \lim_{x \to 4^{+}} f (x)

we need a vertical line to connect both but

a vertical line is not a function

the equation of this would be

x = 4, 7 ⩽ y ⩽ 13

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