Question

Which of the graphs below would result if you made the leading term of the

following function negative?
F(x) = 5x^3 + x - 8

Answer 1

Answer: the answer is D

Explanation:

A P E X

Answer 2

Option d that is graph D is the final answer.

Explanation:

We know that
`f(x)=x^3` is an odd function.

As odd functions are:

• 
  `f(-x)=-f(x)`
• Symmetric about opposite quadrant.

For
`f(x)=x^3` we have the graph on Ist and IIIrd quadrant.

And for
`f(x)=-x^3` the graph will be on IInd and IVth quadrant.

So if the leading term that is
`5x^3` becomes
`-5x^3` (negative) the graph will be plotted on IInd and IVth quadrant.

There is also a constant terms
`-8` which means that it will intersect the
`y-axis` below the origin at
`-8`.

So from the above we can conclude that graph D is the answer.