Question

A polynomial function is shown below: f(x) = x3 − 4x2 − x + 4 Which graph best represents the function? Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 2, and 3. The graph intersects the y axis at a point between 10 and 15. Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 2, and 3. The graph intersects the y axis at a point between 15 and 20. Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, 1, and 3. The graph intersects the y axis at a point between 5 and 10. Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.

Answer 1

The graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.

hope it helps

Answer 2

4th Option is correct that is Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.

Explanation:

Given polynomial function,
`f(x) = x^3 - 4x^2 - x + 4`

We need to find graph which represent the polynomial function.

First we find y intercept by putting x = 0 in polynomial function.

y = f(0)

`y=0^3-4(0)^2-0+4`

y = 4

So, According to this information we only have Option 4th.

Now to check other information of option 4th we draw the polynomial on graph.

graph is attached.

from graph, x intercepts are -1 , 1 , 4

Therefore, 4th Option is correct that is Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.