JetonF366501 JetonF366501
  • 25-10-2022
  • Mathematics
contestada

**Write a function that crosses the x-axisat x = 3 and x = -2, and bounces off thex-axis at x = 5.

Respuesta :

ColesonI173220 ColesonI173220
  • 25-10-2022

First, lets draw a graph of some function that has this properties:

in our case, we know that if our function is a polynomial and has a bounce in some point, that means that the point that its bounces is a even degree root, wich means that is a double root, or a fouth root...

So, if we construct a polinomial with the form:

[tex]f(x)=(x-(-2))\times(x-3)\times(x-5)^2[/tex]

Is a polynomial that has roots in x=3, x=-2 and double root in x=5, meaning that bounces in x=5.

Ver imagen ColesonI173220
Answer Link

Otras preguntas

Provide a scenario where you could have used a system of equations to solve a real world problem.
current is measured with
student performs experiments on acids and bases. Which is not a scientific experiment? She uses an acid-base indicator to measure the pH of four different s
What is the positive solution of x2-36=5x
I’m so lost. I don’t understand what exact it wants nor how to write it
Which is the strongest hook for a presentation to the school board about the benefits of an award for heroes who stand up to bullying? A) A hero’s award is an i
The function y = x 2 - 8x - 16 has a A. minimum B.maximum value of A.-4 B.-8 C.-32 D. 4
Find sec Θ if the terminal side of Θ in standard position contains the point (4, -3) -3/4 -5/3 5/4 4/5
Find DM A) 6 B) 7.5 C) 9 D) 12
Raw vegetables and fruit must be washed with __________ water before being cooked or served.