Est 3_Ejercicio 3 Rubén Capacho.docx - Estudiante 3 Ejercicio número 3 Graficar función a trozos encontrando el punto de(a que hace que la función

# Est 3_Ejercicio 3 Rubén Capacho.docx - Estudiante 3...

• Homework Help
• 3

This preview shows page 1 - 3 out of 3 pages.

Estudiante 3 Ejercicio número 3 Graficar función a trozos encontrando el punto de (a) que hace que la función sea continua. (Geogebra). Demostrar matemáticamente y realizar el respectivo análisis a. f ( x ) = { 2 x 2 3 a + 3 Si x < 3 x 2 + 3 Si x 3 Para que f(x) sea continua en “a”, se debe cumplir que: f ( x ) = lim x→ 3 + ¿ f ( x ) ¿ x → 3 ¿ ¿ lim ¿ ¿ lim x→ 3 ( 2 x 2 3 a + 3 )= lim x → 3 ( x 2 + 3 ) 2 ( 3 ) 2 3 a + 3 = ( 3 ) 2 + 3 18 3 a + 3 = 9 + 3 3 a = 9 + 3 18 3 3 a =− 9 a = 9 3 a = 3 Por tanto: para que f(x) sea continua debe ser: f ( x ) = { 2 x 2 3 ( 3 ) + 3 2 x 2 6 Si x < 3 x 2 + 3 Si x 3 Gráfica en Geogebra
b. f ( x ) = { x 2 + 4 a 6 Si x < 4 x 2 2 Si x 4 Para que f(x) sea continua

#### You've reached the end of your free preview.

Want to read all 3 pages?

• Spring '17
• Julio Boltvinik

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern