First graph could be the graph of f(x).
We have the polynomial degree of the function f(x) is 4.
And the roots of the equation f(x)=0 are
−8 , −5 , 1, and 2
We know graph of the function f(x) crosses the x axis at point where f(x) is zero. That is at point (zeroes) the graph crosses the x axis.
So, we see that in the first graph the graph of the function crosses the x axis at the points x= −8 , −5 , 1, and 2.
Therefore first graph could be the graph of f(x).
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