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Which of the graphs below would result if you made the leading term of the
following function negative?
F(x) = 5x^3 + x - 8

Which of the graphs below would result if you made the leading term of the following function negative Fx 5x3 x 8 class=

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Answer:

Option d that is graph D is the final answer.

Step-by-step explanation:

We know that [tex]f(x)=x^3[/tex] is an odd function.

As odd functions are:

  • [tex]f(-x)=-f(x)[/tex]  
  • Symmetric about opposite quadrant.

For [tex]f(x)=x^3[/tex] we have the graph on Ist and IIIrd quadrant.

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

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

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

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

Answer: the answer is D

Step-by-step explanation:

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