Answered

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

Verified Answer :

calculista

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

View image calculista

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 \(x>3.397\)

View image tardymanchester

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