Is it possible to have a function f that satisfies the following conditions? (1) The domain of f (x) is [ -5, 5]. (2) f (-5) = f ( -4 ) = 2 ; f ( 4 ) = f (5) = 1. (3) f has an infinite discontinuity at -4 and a jump discontinuity at 4. (4) f is left continuous at -4 and right continuous at 4.

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Is it possible to have a function f that satisfies the following conditions? (1) The domain of f (x) is [ -5, 5]. (2) f (-5) = f ( -4 ) = 2 ; f ( 4 ) = f (5) = 1. (3) f has an infinite discontinuity at -4 and a jump discontinuity at 4. (4) f is left continuous at -4 and right continuous at 4.

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It will be a piecewise function.... x less than or equal to -4, f(x) = 2 x greater than or equal to 4, f(x) = 1 In between, the function will be a rational function that has (x+4) in the denominator plus something that makes it jump to 1 when x=4.
It will be a piecewise function.... x less than or equal to -4, f(x) = 2 x greater than or equal to 4, f(x) = 1 In between, the function will be a rational function that has (x+4) in the denominator plus something that makes it jump to 1 when x=4.
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