Question

Graph the function f(x) = x4 − 7x3 + 12x2 + 4x − 12 using graphing technology and identify for which values of x the graph is increasing.

Answer 1

Answer:

Value of x is increasing between $-0.147$ and $x>3.397$

Step-by-step explanation:

Given : Function $f(x)=x^4-7x^3+12x^2+4x-12$

To find : For which values of x the graph is increasing.

Solution :

We have plot the graph of the given function  $f(x)=x^4-7x^3+12x^2+4x-12$

The graph is attached below.

We see that the value of x is increasing from the interval

A- $(-0.147,-12.306)$ to $(2,4)$

B-  $(3.397)$  to $(\infty)$

Which means x value is increasing between

$-0.147$ and $x>3.397$

Answer 2

we have

$f(x) = x^{4} - 7x^{3} + 12x^{2} + 4x - 12$

The options of the question are

A. X:-3 to x:-2

B.x:-2 to x:-1

C. X:1 to x:2

D. X:2 to x:3

Using a graph tool

see the attached figure

The graph is increasing in the interval (-0.15,2) and the interval (3.4, ∞)

The graph is decreasing in the interval (-∞, -0.15) and the interval (2,3.4)

therefore

the interval (1,2) is included in the interval (-0.15,2)

the answer is the option

C. X:1 to x:2