Math

Given: y=10/(x+1)-8

What is the domain and range?

  1. 👍
  2. 👎
  3. 👁
  1. Well for the x's, I can choose any value I want except -1
    so domain: any real x, x ≠ -1

    for the range, imagine x becoming larger and larger, so the term 10/(x+1) will approach zero and leaving you will "tiny tiny positive" - 8, which is every so close to -8, slightly above it
    for huge negative values, 10/(x+1) will be almost zero, but negative, so we are slightly below -8
    we will never get to -8
    range: all real values of y, y ≠ -8

    e.g. to get to y = -8.001
    -8.001 = 10(x+1) - 8
    -.001 = 10/(x+1)
    -.001x - .001 = 10
    -.001 = 10.001
    x = -10001

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra plz help

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

  2. MATH

    Check It For Me Pleaseee Question 1 A) How do you know whether a relation is a function?(1 point) -By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements

  3. Algebra

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

  4. calcius

    Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain:

  1. algebra

    Can someone check my answers please and if Im wrong please explain. 1) graph 4x^2+4y^2=64. what are the domain and range? domain;all real numbers range;-4

  2. algebra

    The graph of a quadratic function with vertex (3,-1). Find the range and the domain. write the range and domain using interval notation.

  3. Math

    What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}? 1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6} 2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5} 3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2,

  4. Precalculus

    The function f has a domain of [0,5]and a range of [0,3]. Start by sketching a potential graph of f. Suppose the function k is defined as k(x)=f(x−3). Determine the domain and range of k. Domain: Range:

  1. Algebra

    1. Graph the function and identify the domain and range. y=-5x^2 oo=infinite A) Domain: (-oo, oo) Range: [0, oo) B) Domain: (-oo, oo) Range: (-oo, 0] C) Domain: (-oo, oo) Range: (-oo, 0] D) Domain: (-oo, oo) Range: [0, oo) 2. How

  2. algebra

    Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers,

  3. Math-functions

    A function, y = f(x), originally has a domain of x equal or bigger than 4 and a range of y equal or smaller than 1. Determine the new domain and range of y=-2f(-x+5)+1 after applying all transformations. (Hint: Sketch the

  4. 11th grade maths

    A.give an example of a function whose domain is {3,4,7,9}? and whose range is {-1,0,3} B.Find two different functions whose domain is {3,8}and whose range is {-4,1} C Explain why there does not exist a function whose domain is

You can view more similar questions or ask a new question.