Question

Graph the function f(x) = − x4 + 7x3 − 9x2 − 3x + 10 using graphing technology and identify for which values of x the graph is decreasing.
From x = −2 to x = −1

From x = 0 to x = 1

From x = 1 to x = 2

From x = 2 to x = 4

Answer 1

To determine the values of x that the graph of the function given above is decreasing, we can substitute the values given and identify at what points the graph shows decreasing. By doing such procedure, it can be concluded that the correct answer would be the second option. From x=0 to x = 1, the graph is decreasing.

Answer 2

In the attached diagram you can see the graph of the function $f(x) = -x^4 + 7x^3 - 9x^2 - 3x + 10.$

As you can see graph is:

1. increasing from x = −2 to x = −1

2. decreasing from x = 0 to x = 1

3. decreasing and then increasing from x=1 to x=2

4. increasing from x=2 to x=4.

Answer: correct choice is B.