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
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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
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