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What is the DOMAIN and RANGE for the following equations:

0 votes
1) y = 3x - 4
2) y = -2x^2 + 2
3) y = x^3
I know how to graph I understand all that but I don'T know how to determine the range and domain, are they looking for number pairs????
Thanks
asked Mar 17, 2014 in ALGEBRA 1 by harvy0496 Apprentice

3 Answers

0 votes

(1)

The equation is image.

Make the table of values to find ordered pairs that satisfy the equation.

Choose values for x and find the corresponding values for y.

x

image

(x, y)

image

image

image

image

image

1

image

image

2

image

image

3

image

image

Draw a coordinate plane.

Plot the coordinate points.

Then sketch the graph, connecting the points with a line.

graph the equation x=y^2

Since x can be any real number, there is an infinite number of ordered pairs that can be graphed. All of them lie on the line shown.

Notice that every real number is the x - coordinate of some point on the line.

Also, every real number is the y - coordinate of some point on the line.

So, the domain and range are both all real numbers, and the relation is continuous.

answered Apr 1, 2014 by steve Scholar
edited Apr 1, 2014 by steve
0 votes

(2).

The function is image.

Make the table of values to find ordered pairs that satisfy the equation.

Choose values for x and find the corresponding values for y.

x

image

(x, y )

image

image

   image

image

 

 image

image

 1

 image

image

 2

 image

image

To draw the equation image follow the steps.

1. Draw a coordinate plane.

2. Plot the points on the coordinate plane.

3.Then sketch the graph, connecting the points with a smooth curve.

graph the equation y = -2x^2+2

Since x can be any real number, there is an infinite number of ordered pairs that can be graphed. All of them lie on the graph shown.

Notice that every real number is the x - coordinate of some point on the graph, so the domain is all real numbers.

But, only real numbers less than or equal to 2 are y - coordinates of points on the graph. So the range is image.

answered Apr 1, 2014 by steve Scholar
0 votes

(3)

The equation is image.

Make the table of values to find ordered pairs that satisfy the equation.

Choose values for x and find the corresponding values for y.

x

image

(x, y)

image

image

image

image

image

image

0

image

image

1

image

image

2

image

image

Draw a coordinate plane.

Plot the coordinate points.

Then sketch the graph, connecting the points with a line.

graph the equation y=x^3

Since x can be any real number, there is an infinite number of ordered pairs that can be graphed. All of them lie on the graph.

Notice that every real number is the x - coordinate of some point on the graph.

Also, every real number is the y - coordinate of some point on the graph.

So, the domain and range are both all real numbers.

answered Apr 1, 2014 by steve Scholar

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