Math

posted by .

Using the TI-89 Titanium calculator:

Find the largest and smallest values of each of the following functions on their given intervals.
(I'll show you one)

f(x) = 2^x + x^2 [-4, 1]

I put in the function on the Y= screen as shown, then -4 < x < 1 (it's actually the less than or equal to sign)

It gives me a little more than half of the parabola, but I don't know where to go from there. I tried punching in the same as above using fMin( and fMax( on the Home screen and got -.285 for the minimum and -4 for the maximum, but I'm not sure if this is right.

Help please? Thank you!

Also, the units are in radians.

  • Math -

    Does the TI-89 Titanium have a derivative function?
    If it does, solve for
    f'(x)=0, or do it by hand,

    f'(x)
    =d(2^x+x^2)/dx
    = ln(2)*2x+2x
    so solve for
    ln(2)*2x+2x = 0
    the solution of x will be the position of minimum, as shown in graphics.
    I get xmin=-0.2845 for the position of minimum, and f(xmin)=0.90197

    So the fMin that you got corresponds to the value of x at the point of minimum.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Find the following product. (.11111)(12)(9)(.44444)(235) I don't undrstand the difficulty here. Take the statement: (.11111)(12)(9)(.44444)(235) put a * between each term like this (.11111)*(12)*(9)*(.44444)*(235) Now put this into …
  2. math

    I never got the fractions, Determine the maximum and minimum values of the following set of numbers. 2,-8,1/2,-5/3,9/4,-7,-73/9 I think the answer is -73/9 and 1/2 am I right if not can anyone tell me what I am doing wrong?
  3. Calculus

    (This problem uses a TI-89 calculator) Find the largest and smallest values of the following function on their given intervals: y=(cos x)^x [-1.5, 4.75] This is what I put in the calculator (home screen): fMin((cos(x))^x,x I -1.5 < …
  4. Calculus (repost)

    This problem uses a TI-89 calculator) Find the largest and smallest values of the following function on their given intervals: y=(cos x)^x [-1.5, 4.75] This is what I put in the calculator (home screen): fMin((cos(x))^x,x I -1.5 < …
  5. math

    functions f(x)=rad. x-9 write the intervals of the functions. How do I put the set of numbers in the form of intervals such as infinity. I solved it and got the answer as this: x < or = 9 (infinity,9] Please help me, I am stuck.
  6. Calculus (pleas help!!!)

    Let f(x)=e^(2x)-kx, for k greater than 0. Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4. Describe what happens as k changes. f(x) has a local minimum. Find the location of the minimum. x= ____ Find …
  7. Calculus Please Help

    Let f(x)=e^(2x)-kx, for k greater than 0. Using a calculator or computer, sketch the graph of f for k=1/9, 1/6,1/3,1/2,1,2,4. Describe what happens as k changes. f(x) has a local minimum. Find the location of the minimum. x= ____ Find …
  8. Calculus

    Find the largest and smallest values of the given function over the prescribed closed, bounded interval of: f(x)=(3x-1)e^-x for 0<x<2
  9. calculus 1

    f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function …
  10. Chemistry

    Which response presents ions in order of increasing atomic radius?

More Similar Questions