SOLUTION: Using graphing technology graph x^4-7x^3+12x^2+4x-12. Identify for which values of x the graph is increasing. A. X:-3 to x:-2 B.x:-2 to x:-1 C. X:1 to x:2 D. X:2 to x:3

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Using graphing technology graph x^4-7x^3+12x^2+4x-12. Identify for which values of x the graph is increasing. A. X:-3 to x:-2 B.x:-2 to x:-1 C. X:1 to x:2 D. X:2 to x:3      Log On


   

Question 977420: Using graphing technology graph x^4-7x^3+12x^2+4x-12. Identify for which values of x the graph is increasing.
A. X:-3 to x:-2
B.x:-2 to x:-1
C. X:1 to x:2
D. X:2 to x:3
Found 3 solutions by stanbon, Alan3354, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Using graphing technology graph x^4-7x^3+12x^2+4x-12. Identify for which values of x the graph is increasing.
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f'(x) = 4x^3 -21x^2 + 24x + 4
Solve:: 4x^3-21x^2 + 24x+4 > 0
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E4-7x%5E3%2B12x%5E2%2B4x-12%29
Ans: increasing from x = 0.1472 to x = 2 and also when x > 3.5
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Cheers,
Stan H.
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A. X:-3 to x:-2
B.x:-2 to x:-1
C. X:1 to x:2
D. X:2 to x:3

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
dl the FREE graph software at
http://www.padowan.dk
Use Ins, then paste the function.

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
On your TI-83 or 84 calculator

Press WINDOW

Make it read

WINDOW
 Xmin=-3
 Xmax=5
 Xscl=1
 Ymin=-15
 Ymax=10
 Yscl=1
 Xres=1

Press X=

Make it read:

\Y1=X^4-7^3+12X²
+4X-12

Press GRAPH

See this:

graph%28600%2C400%2C-3%2C5%2C-15%2C10%2Cx%5E4-7x%5E3%2B12x%5E2%2B4x-12%29

A. X:-3 to x:-2

That's not it because the curve is going downhill to the right (it's off the set of axes)

 B.x:-2 to x:-1
That's not it because the curve is going downhill to the right when x is
between -2 and -1.

 C. X:1 to x:2
That's it!  The curve is going uphill to the right where x is between 1 and 2.


 D. X:2 to x:3
That's not it because the curve is going downhill to the right between 2 and 3.

Answer: C

Edwin