Algebra 2

posted by .

Okay so I need help with basically how to find the domain, range, and how to solve if it says Find the value of f(3).

Let the f function be defined by f(x) = the square root of x + 1 for -1 is less than or equal to x less than or equal to 3.
And 4 - x for 3 is less than x less than or equal to 5

I don't know where to start. Thanks in advance.

  • Algebra 2 -

    we have:

    f(x) =
    {√(x+1) for -1 <= x <= 3
    {4-x for 3 < x <= 5

    domain:
    square root is only defined for positive values. So, we need x+1 >= 0, or x >= -1. 4-x is defined for all real x.
    So, domain is [-1,5]

    range:
    for -1 <= x <= 3, 0 <= f(x) <= 2
    for 3 < x <= 5, -1 <= f(x) < 1
    so, the range is [-1,2]

    f(3) = √(3+1) = √4 = 2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. ALGEBRA

    How do you find the domain of a function when the number is outside of the paranthesese. Example would be y=(square root of x)+3. I know that to find the domain when the number is under the square root, you have to make the number …
  2. Algebra

    How do you find the domain of a function when the number is outside of the paranthesese. Example would be y=(square root of x)+3. I know that to find the domain when the number is under the square root, you have to make the number …
  3. MAth

    how do i find the domain and range of equations?
  4. math

    how do i find the domain and range of equations?
  5. calculus HELP

    how do you find the domain of the function:: 14/(x^2 - 361) <-- this is all under a square root.. i have attempted this so many times and have not found the correct answer yet. how do i solve the domain when it is a square root …
  6. math 116

    What is the difference between domain and range?
  7. Maths

    How to find a range (not domain) of function f(x)=square root of x^2-1/square root of 9-x^2
  8. algebra

    a function is defined by the equation y=8x-3. If the domain is 2≤x≤4, find the minimum value in the range of the function.
  9. algebra

    a function is defined by the equation y=8x-3. If the domain is 2≤x≤4, find the minimum value in the range of the function.
  10. algebra

    2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain?

More Similar Questions