Pregunta
- Sketch the function:
. Label
and
intercepts. Compute, plot
and label the points
,
. Graph MUST show the effect of any multiplicities greater than 1 .
and label the points
Ask by Brooks Bryant. in the United States
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Graph of
:
- x-intercepts:
and - y-intercept:
at
Points Plotted:
The graph shows the function crossing the x-axis at
and touching it at
due to the multiplicity of 2 in
. As
approaches positive infinity,
approaches negative infinity, and as
approaches negative infinity,
approaches positive infinity. The local maximum occurs at
.
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Como
Beyond the Answer
To sketch the function
, start by identifying the x-intercepts and y-intercept.
The x-intercepts occur when
. Setting the equation equal to zero gives us:
- From
, we get . - From
, we get with a multiplicity of 2.
The y-intercept occurs when
:
Now, to compute the values:
To sketch the graph:
- Mark the intercepts at
and and note that at the graph touches the x-axis but does not cross it due to the multiplicity of 2. - Plot the calculated points, showing a downward curvature because of the leading negative coefficient, and the vertex near these x-intercepts.
- The graph will exhibit a parabola-like shape, decreasing before
, coming back up to touch the x-axis at , and then further dipping down towards and continuing downwards.
Label your axes, and highlight the points you computed for clarity!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium