How many discontinuities does the following piecewise function have?

math expressionf left parenthesis x right parenthesis equals enlarged left brace start layout 1st row 3 e superscript x plus 3 baseline plus 1 comma x less than negative 3 2nd row start fraction 2 over 3 end fraction x squared minus 1 comma negative 3 less than x less than or equals 3 3rd row negative start fraction 7 over 2 end fraction x plus start fraction 29 over 2 end fraction comma 3 less than x less than 5 4th row log left parenthesis 2 x minus 4 right parenthesis comma x greater than or equals 5 end layout
(1 point)
Responses

three
three

two
two

one
one

zero

The given piecewise function has one discontinuity.