How do you get the domain & range?

How can you graph this function and how do you get a domain and range?

  • Answer:

    Yes, you can make a table of values using 0,1,2, etc. and graph the resulting points. It is what people usually do to graph parabolas. To find the domain and range,begin by finding the vertex. This will the highest or lowest point of the parabola (in this case lowest) To do this, use -b/2a so you have 1/2(1) which is 1/2 Put back into the equation for x you would receive y = -3/4 Vertex = (.5,-.75) so your range is going to be your lowest y value to infinite, or y>-.75 because it can't go any lower than the vertex for the domain, it's a parabola, so it's all real numbers, because the parabola will turn out to be infinitely wide, although it doesn't appear that it would from the first few numbers.

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f(x) is the same as y x,y 0,-1 1,0 2,3 -1,0 -2,3 graph those points range=-1,0,3 domain=0,1,2,-1,-2

Yes, you can make a table of values using 0,1,2, etc. and graph the resulting points. It is what people usually do to graph parabolas. To find the domain and range,begin by finding the vertex. This will the highest or lowest point of the parabola (in this case lowest) To do this, use -b/2a so you have 1/2(1) which is 1/2 Put back into the equation for x you would receive y = -3/4 Vertex = (.5,-.75) so your range is going to be your lowest y value to infinite, or y>-.75 because it can't go any lower than the vertex for the domain, it's a parabola, so it's all real numbers, because the parabola will turn out to be infinitely wide, although it doesn't appear that it would from the first few numbers.

f(x) is the same as y x,y 0,-1 1,0 2,3 -1,0 -2,3 graph those points range=-1,0,3 domain=0,1,2,-1,-2

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