# pre-calculus

posted by .

Also with calculator, graph f(x), and determine all the possible maxima/minima coordinates to within two decimal points.

f(x)=x^3+2x^2-x-2/x^2+x-6

i did this and got my answers but i doubt they are right, can anyone get the answers if you have a TI-83-84 please? thank you.

• pre-calculus -

Also, calculate f'(x) and substitute the x-coordinate of the maximum/minimum to see if f'(x)=0. This will be another way to confirm your answer.

• pre-calculus -

maxima: x= -1.56
minima:x=-1.29, x=-1.25

• pre-calculus -

f'(x)=3*x^2+4*x+4/x^3
f'(-1.56)=0.0072
f'(-1.559)=-0.00021
Therefore x=-1.56(approx.) is a maximum or minimum.
f"(x)=6*x-12/x^4+4
f"(-1.56)=-7.386 >0
Therefore x=-1.56 is a maximum.

f'(-1.29)=-2.03 ≠ 0
f'(-1.25)=-2.3605 ≠ 0
Therefore x=-1.29 and x=-1.25 are not maxima nor minima.

Check your graph without forgetting that the function is undefined at x=0.

• pre-calculus -

oh thank you so much, so x=-1.56 is a maxima, and we don't have a minima?

## Similar Questions

1. ### CALCULUS!!!

case 1. Find the absolute maxima and minina values of f(x)=sin2x+cos2x on [0, pie] Specify both the x and y coordinateof the absolute maximum and absolute minimum. Gives answers in exact form. case 2. Use the second derivative test …
2. ### Algebra 2

I know how to graph points but I need the points to this equation. f(x)=(-x)^4+4x^2-2x solve by making a table of values. It says I also need the coordinates at which the relative maxima and minima occur.
3. ### college algebra

Let f(x)= x^5/120 - x^3/6 + x Find the local minima and maxima, then determine where the function is decreasing and increasing. Basically, I just need to know how to type this correctly in my calculator so I can get the right minima …
4. ### Calculus!!!

Find the (x,y) coordinates of the infection point on the graph of f(x)=900/1+(5e^-x) Use your calculator to give your answers using 2 decimal place accuracy. Please help me!!!!!!! You don't know how much it means to me!! Thank you!
5. ### pre calc

A graph of y = cos(1/2 x) - sin( x) for -4ð x 4ð is shown in the figure. Assume z = 4. (the figure is just the graph) its asking me to find the x intercepts but i don't know how. it also asks me to find: The x-coordinates of the …
6. ### basic calculus

use the first and second derivatives to find the x-coordinates of all local maxima and minima of f(x)=8e^2x-2x. indicate which of your answers are local minima and which are local maxima.
7. ### Minima Maxima

Find and classify the relative maxima and minima of f(x) if f(x)= defint a=0 b=x function= t^2-4/(1+cos(t)^2) dt x^2-4/(1+cos(x)^2)= 0 x^2-4=0 x^2=4 x= +/- 2 So I got relative maximum as -2 and 2. And relative minimum as zero. However, …
8. ### Trigonometry

Graph the function y=2sin(x-2pi/3). To draw the graph, plot all x-intercepts, minima and maxima within on period. I need to graph at least 5 points. I have -pi, 0, pi, 2pi, 3pi, and 4pi along the x-axis
9. ### Calculus

Let f(x) = 2x^{3}+9. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals: 2. f is decreasing on the intervals: 3. The …
10. ### Maxima and minima Application

Find the maxima and minima coordinates of the vertext of the parabola of y= x^2-8x+1

More Similar Questions