what is the domain and range for y=/-x+3-4?
963319
I'm not understanding the / part of the problem
323916
sec is 1/cos. So the domain is the set of all real numbers except when cos(2x - pi) is 0. To graph it, first plot the cosine graph corresponding to -2cos(2x - pi). Then, "flip" the wave along y=2 and y=-2 for when the graph is positive and negative. Basically, what you get are sets of parabolas going off to infinity alternating between being above and below the x axes. Then, erase your cosine graph and shift these "parabolas" up by 3, and you're good.\nSince -2cos can take any value between -2 and 2, -2sec can take any value except those between -2 and 2. Shift up by 3, and you get a range of all real numbers less than or equal to 1 and greater than or equal to 4.
1072243
Domain: (-infinity, +infinity)\nRange: (-infinity, +infinity)
40850
-3 <4x\n x < -3/4\n solution set : {- infinity ,.............,-3/4}
962268
The range is the largest minus the smallest, or 12-3\nmean & std dev.:\nx, f, r,rf, fr^2\n3, 1, -4, -4, 16\n4, , -3, ,\n5, , -2, ,\n6, 1, -1, -1, 1\n7, 1, 0, 0, 0\n8,  , 1, ,\n9,  , 2, ,\n10, 1, 3, +3, 9\n11 , , 4, ,\n12, 1, 5, +5, 25\nsums,,,,,,,,3, 53\nm = 7+3/5 = 7.6\nσ ≈ √(53/5) ≈ 3.2558\nTechnically, \nσ = √((4.4² + 1.6² + 0.6² + 4.6² + 2.4²/5)\nσ = 3.1369
1071351
domain is the spread for the x values\nrange is the spread for values\nrelation is like a function that ties y to x.\n\nExample: Let  y = sqrt(x)\nas we know that x cannot have negative values but it can have values of 0 or any positive number\nSo, your domain is [0,infinity) or any numbers above 0 and including 0.\nIf x is 0 then y is 0 and if x is a huge number then y is a huge number. Since square roots do not give negative answers, y value can never be negative. So, your range becomes 0 to infinity or [0, infinity)
756805
x<2   (-infinity,2)\nx>3   (3, infinity)\nx<2 see first interval\nx>-2 (-2,infinity)
798185
Yes, they do.  Domain just means the values the relation works on, range means the values it produces.\n\nThe big deal about functions is that they give you a definite, i.e. unambiguous result.  If you ask what do I have to square to get 324, the answer could be 18 or -18.  But put it into your calculator and press the square root key, and it operates the function (which is defined as the positive value of the two choices) and it gives you 18.\n\nLikewise, there's an infinite number of answers to the question "What angle (in degrees) has a cosine equal to -0.5?"  A few of the answers are 120, 240, 480, 600.  But again, put -0.5 into your calculator, set in degrees, and apply the "cos^-1" key, and your calculator applies a function and comes up with just one answer, 120.
953975
The domain is [0, pi/4), (pi/4, 3pi/4), (3pi/4, 2pi]\n\nThe range is [-1, -infinity), [1, infinity).\n\nJust in case, [ means "number next to it included" and ( means "number next to it not included." so [a, b) means from a (a included) to b (b not included.)
144380
You got it quite confusing! Did you mean\n(a) y=4/7x-13 or (b) y=4/(7x-13) ??\n\n(a)\n\ny = 4/7x - 13    (-13 is not on the denominator!)\nThe range is the set of all possible values of y and\nthe domain is the set of all possible values of x, but a denominator cannot have a value of 0, so 7x cannot be 0\nand x cannot be 0.\n\nDomain={x/x E R, x is not equal to 0}\nTo get the range, solve for x in terms of y.\n\ny=4/7x-13\n7xy = 4 - 91x\n7xy + 91x = 4\n7x(y + 13) = 4\nx = 4/(7(y + 13))\n\n7(y + 13) cannot be equal to 0, so\n(y + 13) is not equal to 0 \ntherefore, y is not equal to -13\n\nRange={y/y E R, y is not equal to -13}\n\n(b)\n\nUsing the same procedure, you will get\n\nDomain={x/x E R, x is not equal to 13/7)\nRange={y/y E R, y is not equal to 0}\n\nc",
423719
If your parabola is the standard y = ax^2 + bx + c, your domain should be all real x.  Since you mentioned that it opens up, your range goes to infinity.  Since your axis of symmetry is at (2, -1), your vertex is at (2, -1) and your lower y-bound is -1.\n\nBTW, the axis of symmetry is a line of the form x = 2, if I'm interpreting your information correctly.  The vertex of a parabola always lies on the axis of symmetry, which is why I assumed that your lower y-bound is -1 in finding the range.
11252
The best way to find domain and range is to graph the function. If you graph the function that you have given as an example, you will notice that it is undefined at x=0. Since it is undefined at this point, the domain of the function is the real numbers minus 0. The range in general is slighly more difficult to find, but in this case is easy to find. This function goes to positive infinity when x approaches 0 from the left, and negative infinity when x approaches 0 from the right. The range of this function is all real numbers.
932187
y = 3/2 (-4) -2 = -12/2 - 2 = -6 -2 =  -8\n\n(x,y) = (4,-8)
863968
-3x^2+24x-49\ndy/dx=-6x +24\n-6x+24 =0, so x=4 \n\nSo the max occurs when x=4. ( We know it is a max because the coefficient of x^2 is negative.)\nso the max is -3(4^2) +2*4-49 = -48 +8 -49= -89\nThis means that the range (possible values of y) is all the real numbers =< -89 . Because -89 is the max value. In interval notation this is - infinity <y<= -89.\n\nThe graph is a parabola which is increasing upward until it hits the max when x = 4 and then decreases forever\nThus f(x) is increasing over the interval - infinity <x<4  and it is decreasing over the interval 4<x< + infinity. At x =4, f(x) is neither increasing or decreasing.\n\nThe vertex is located at (4, -89)\n\nSince f(x) is never positive, it never crosses the x-axis and thus has no real roots. The two roots are imaginary.\n\nI think that covers all your questions.
869140
Just graph it like an equality, and then your answer is everything either above (>) or below (<) the line.  For example, in the last inequality, the answer is everything above the line y = -2, not including the line itself.
890248
the domain of the x is all real numbers except for when x = 0.  when x is positive the range >  5.47.  when x is negative, the range < -3.47\n\nso the range of the numbers is all reals excluding the reals between 5.47 and -3.47
406468
D = {x | x < -3 U x > 4 }