Answer :
The function f(x)=2/x²+3x-10 is negative for all x < -5 option second "is negative for all x < -5" is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
[tex]\rm f\left(x\right)=\dfrac{2}{x^2}+3x-10[/tex]
f(x) is positive for all x < -5
Plug x = -4
f(-4) = -21.875
The above statement is not true
f(x) is negative for all x < -5
Plug x = -4
f(-4) = -21.875
The above statement is true
f(x) is positive for all x < 2
Plug x = 1
f(1) = -5
The above statement is not true
f(x) is negative for all x > 2
Plug x = 3
f(3) = -0.777
The above statement is not true
Thus, the function f(x)=2/x²+3x-10 is negative for all x < -5 option second "is negative for all x < -5" is correct.
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