Question
Realiza la gráfica de las siguientes funciones, utiliza tabla de valores:
a)
a)
Ask by Flynn Huff. in Ecuador
Jan 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To graph the function , use the following steps:
-
Identify Key Features:
- Amplitude: 5
- Period:
- Phase Shift:
to the right - Vertical Shift: 0
-
Create a Table of Values:
- Select
values from 0 to . - Calculate corresponding
values using the function.
- Select
-
Plot the Points:
- Mark the points from the table on a coordinate plane.
- Connect the points with a smooth sine wave curve.
-
Key Points:
- Maximum at
, - Minimum at
and , - Crosses the x-axis at
and
- Maximum at
Simplified Graph Description:
The graph is a sine wave with an amplitude of 5, a period of , and a phase shift of
to the right. It reaches a maximum of 5 at
, a minimum of -5 at
and
, and crosses the x-axis at
and
.
The graph is a sine wave with an amplitude of 5, a period of
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Beyond the Answer
Para graficar la función
, primero crearemos una tabla de valores. Tomemos algunos valores de
y calculamos los correspondientes valores de
.
|
|
---|---|
-8 | -5 |
-4 | 0 |
0 | 5 |
4 | 0 |
8 | -5 |
12 | 0 |
16 | 5 |
Con la tabla de valores, podemos graficar los puntos en el plano cartesiano, notando que la función tiene un rango entre -5 y 5. La forma de onda de la gráfica será sinusoidal, reflejando la naturaleza periódica de la función seno, con un período más largo debido al coeficiente
frente a
. ¡Diviértete creando la gráfica y observando cómo se desplaza esta onda!