contestada

An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Respuesta :

abidemiokin

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

boffeemadrid

The domain of the function is required.

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The function is

[tex]f(x)=-16x^2+144[/tex]

The y intercept of the function is

[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]

[tex](0,144)[/tex]

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

[tex](3,0),(-3,0)[/tex]

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The graph of the figure is attached.

Learn more:

https://brainly.com/question/20263812?referrer=searchResults

Ver imagen boffeemadrid

Otras preguntas