Use integer values of x from -3 to graph the equation.
y = -|x|
1. pic with 2 lines forming a v coming down from the top and ending at the origin. Very wide line.
2. pic with that image just upside down
3. pic with 3. but a thinner line range
4. Pretty much 1 with a thinner range
Wolfram shows this as the graph:
http://www.wolframalpha.com/input/?i=plot+y+%3D+-%7Cx%7C
I have no idea what you mean by "very wide line" and "thinner line range"
To graph the equation y = -|x| using integer values of x from -3, let's plug in each integer value of x and calculate the corresponding y-values.
When x = -3:
y = -|-3| = -3
When x = -2:
y = -|-2| = -2
When x = -1:
y = -|-1| = -1
When x = 0:
y = -|0| = 0
When x = 1:
y = -|1| = -1
When x = 2:
y = -|2| = -2
When x = 3:
y = -|3| = -3
Now, let's plot these points on a graph with x-values on the horizontal axis and y-values on the vertical axis.
Graph 1:
- x = -3, y = -3
- x = -2, y = -2
- x = -1, y = -1
- x = 0, y = 0
- x = 1, y = -1
- x = 2, y = -2
- x = 3, y = -3
This graph will have two lines forming a "V" shape coming down from the top and passing through the origin. The line will be quite wide due to the range of integer values from -3 to 3.
Graph 2:
To obtain this graph, we need to reflect Graph 1 vertically. Each point's y-value will be multiplied by -1. As a result, the "V" shape will now be pointing upwards.
Graph 3 and 4:
Graph 3 will have the same shape as Graph 1 but with a thinner line range. The graph points will be limited to integers from -1 to 1. Similarly, Graph 4 will be the same as Graph 1 but with a thinner line range limited to integers from -2 to 2.
Remember, when graphing equations, it's always important to plot multiple points to understand the shape of the graph.