answer me please as soon as possible plot the graph same as shown in the question using green orange and black colors
1 answer:
Due to length restrictions, we kindly invite to read the explanation of this question for further details about the table and graph of the function.
<h3>How to plot the graph of a function</h3>
In this problem we must plot the graph of a function on a <em>Cartesian</em> plane. The procedure is summarized below:
- Create a table for a series of equally spaced x-values.
- Calculate the y-values for corresponding values and fill the table.
- Mark the points on the <em>Cartesian</em> plane.
- Match the points with line segments.
After following the procedure, we have the following result:
Input, x x + 4 Output, y (x, y)
- 2 - 2 + 4 2 (- 2, 2)
0 0 + 4 4 (0, 4)
2 2 + 4 6 (2, 6)
4 4 + 4 8 (4, 8)
6 6 + 4 10 (6, 10)
8 8 + 4 12 (8, 12)
Lastly, we plot the graph of the <em>linear</em> function.
To learn more on functions: brainly.com/question/12431044
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The first line through points (-3, 0) and (-4, -1) is the orange line.
The second line, through (1, 1) and (2, -1) is the purple line.
Since they are both shaded below, the intersection of the shaded regions, is the region colored in blue.
Both lines are included, since they are solid lines.
The equation of the first line can be found as follows:
the slope is
, thus, the equation is:
The equation of the second line can be found as follows:
the slope is
,
thus the equation of the second line is :
We have to decide on the direction of the inequality sign, so we pick a point, for example (0, 4) which is not in the colored regions of the lines,
so we write the inequalities so that they do not hold for (0, 4)
line 1:
y≥x+4
4≥0+4=4 is true, so we change the sign and write : y≤x+4
similarly, line 2:
y≤-2x+3
4≤-2*0+3=3, which is not true, so we have the correct direction.
Note that since the lines were solid, we include the equality case:
Answer:
the shaded region is the solution to the system of inequalities:
i) y≤x+4
ii) y≤-2x+3
The second line, through (1, 1) and (2, -1) is the purple line.
Since they are both shaded below, the intersection of the shaded regions, is the region colored in blue.
Both lines are included, since they are solid lines.
The equation of the first line can be found as follows:
the slope is
The equation of the second line can be found as follows:
the slope is
thus the equation of the second line is :
We have to decide on the direction of the inequality sign, so we pick a point, for example (0, 4) which is not in the colored regions of the lines,
so we write the inequalities so that they do not hold for (0, 4)
line 1:
y≥x+4
4≥0+4=4 is true, so we change the sign and write : y≤x+4
similarly, line 2:
y≤-2x+3
4≤-2*0+3=3, which is not true, so we have the correct direction.
Note that since the lines were solid, we include the equality case:
Answer:
the shaded region is the solution to the system of inequalities:
i) y≤x+4
ii) y≤-2x+3
Hi there! The answer is x = -1
Let's solve this equation step by step!
First collect terms.
Subtract (1/2)x from both sides.
Subtract 3 from both sides.
And finally divide by -1 3/4
Let's solve this equation step by step!
First collect terms.
Subtract (1/2)x from both sides.
Subtract 3 from both sides.
And finally divide by -1 3/4