Question

Given f(x)=2/x^2+3x-10.

Answer 1

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:

$\rm f\left(x\right)=\dfrac{2}{x^2}+3x-10$

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.

Learn more about the function here:

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