Question 1

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Considera la funció: begin mathsize 14px style bold f bold left parenthesis bold x bold right parenthesis bold equals open curly brackets table row cell begin bold style 3 times a plus 7 times x end style bold space bold space bold space bold space bold x bold less than begin bold style negative 45 end style end cell row cell begin bold style 8 times b minus 10 times x cubed plus 8 times x squared minus 10 times x minus 5 end style bold space bold space bold space bold space bold x bold greater-than or slanted equal to begin bold style negative 45 end style end cell end table close end style.

Determina els valors d'a i de b que fan que f sigui contínua i derivable (amb continuitat) a tot real numbers.




Nota: si la solució és a=3 i b=4, has d'introduir {3,4}.

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