Respuesta :

The value of smaller zero of function is: -2

Step-by-step explanation:

we have to find the zeroes of the function to determine which zero is smaller

Given function is:

[tex]f(x) = 2x^2-8x-24[/tex]

In order to find zeroes of function, we have to put [tex]f(x) = 0[/tex]

[tex]2x^2-8x-24 = 0\\x^2 -4x-12 = 0\\x^2-6x+2x-12 = 0\\x(x-6)+2(x-6) = 0\\(x+2)(x-6) = 0\\x+2 = 0 => x=-2\\x-6 = 0 => x = 6[/tex]

Hence,

The value of smaller zero of function is: -2

Keywords: Functions, zeroes of functions

Learn more about functions at:

  • brainly.com/question/1446205
  • brainly.com/question/1441585

#LearnwithBrainly

The value of a smaller zero of function is  -2.

we have to find the zeroes of the function to determine which zero is smaller

Given function is

f(x)=0

What is the zeros of the function?

The zeros of a function are the values of x when f(x) is equal to 0. Hence, its name. This means that when f(x) = 0, x is a zero of the function.

[tex]f(x) =2x^2 - 8x-24\\\\x^2-4x-12=0\\\\x^2-6x+2x-12=0\\x(x-6)+2(x-6)=0\\(x-6)(x+2)=0\\\[/tex]

[tex]x=6 \ and\ x=-2[/tex]

In order to find zeroes of a function, we have to put

Hence, The value of a smaller zero  function is -2

To learn more about functions visit:

https://brainly.com/question/2833285

#SPJ2