Question

The function. In the graph is f(x) =

Answer 1

Answer:

$x^3-2x^2-5x+6$

Step-by-step explanation:

We have been given a graph of the function f(x).

Now we need to use that graph to find the equation of the graph and match with the correct choice from the give choices:

$x^4-2x^2+5x+6$

$x^3-2x^2-5x+6$

$x^3-2x^2+5x+6$

$-x^4-2x^2+5x+6$

We see that graph has end points in opposite direction then the degree of polynomial must be ODD.

Available degrees are 3 and 4. Degree 3 is odd so it is choice B or C.

Only $x^3-2x^2-5x+6$ satisfies the given points from graph.

Hence correct choice is $x^3-2x^2-5x+6$.