Calculus

posted by .

I'm trying to finish up my pre-cal homework and I am stuck on 2 problems...

***determine the intervals over which the function is increasing, decreasing, or constant***

32. f(x)=x^2-4x

33. f(x)=√x^2-1 (that's square root of x^2-1)

thank you so much for the help =)

  • Calculus -

    Hmmm. Since this is pre-cal, are you allowed to use derivatives? Assuming yes, then we have

    32. f' = 2x-4
    f' <0 for x<2 so f is decreasing on (-oo,2)
    f' > 0 for x>2, so f is increasing on (2,+oo)
    f' = 0 at x=2, so f is not increasing or decreasing there.

    33. f' = x/sqrt(x^2-1)
    f is undefined for -1 <= x <= 1
    f' > 0 for x > 1 so f is increasing on (1,+oo)
    f' < 0 for x < -1 so f is decreasing on (-oo,-1)

    Use a graphing tool to verify this visually.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    Specify the region over which the following function f(x) is increasing and the region where it is decreasing. f(x)= √-x Your answer should be either open intervals or the empty set ϕ.
  2. Calculus

    find the intervals where the function is increasing and the intervals where it is decreasing f(x)= (x^3/3)-(x^2/2) ok i found its derivative which is (f1(x)=(x-1)x my options are increasing a) (0,infinity) b) (-1,0) c(-infinity,0)U(1,infinity) …
  3. Pre-Calculus

    I'm trying to finish up my pre-cal homework and I am stuck on 2 problems... ***determine the intervals over which the function is increasing, decreasing, or constant*** 32. f(x)=x^2-4x 33. f(x)=√x^2-1 (that's square root of x^2-1) …
  4. Pre-Calculus

    I'm trying to finish up my pre-cal homework and I am stuck on 2 problems... ***determine the intervals over which the function is increasing, decreasing, or constant*** 32. f(x)=x^2-4x 33. f(x)=√x^2-1 (that's square root of x^2-1) …
  5. Math

    determine the intervals over which the function is increasing, decreasing, or constant f(x)=√x^2-1
  6. calculus

    find the intervals on which the function is increasing, decreasing, or constant. (-7,2)(-6,2)(-5,2)(-4,2)(-3,2)(-2,2)(-1,2)(1,3)(3,4)(5,5)
  7. Pre-Calculus

    Determine the open intervals on which the function is increasing, decreasing, or constant. f(x) = 3 f(x) = x^(2/3) f(x) = -x^(3/4)
  8. Calculus

    Consider the function f(x) = x - lnx. Find the intervals on which f(x) is increasing and the intervals where it is decreasing. Also determine any relative max or min.
  9. pre cal

    Determine the intervals on which the function is increasing, decreasing, and constant. A parabola is shown facing down with a vertex of 0,1.
  10. Pre-Calculus

    Hi! I need help with these two. Here's the link for both pictures. 1.) Determine the intervals over which the function is increasing, decreasing, or constant. Write your answer in interval notation. Link for photo: file:///C:/Users/Cynthia/Downloads/Save.PNG …

More Similar Questions