Answer:
You can see the graph in the attached file.
Step-by-step explanation:
You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.
For example choose the value x = 0, then you can calculate the value of y:
![f(x) = 5x^{5} +4x^{4} - 4x^{3} -7x^{2} +6](https://tex.z-dn.net/?f=f%28x%29%20%3D%205x%5E%7B5%7D%20%20%2B4x%5E%7B4%7D%20%20-%204x%5E%7B3%7D%20%20-7x%5E%7B2%7D%20%2B6)
![f(0) = 5(0)^{5} +4(0)^{4} - 4(0)^{3} -7(0)^{2} +6](https://tex.z-dn.net/?f=f%280%29%20%3D%205%280%29%5E%7B5%7D%20%20%2B4%280%29%5E%7B4%7D%20%20-%204%280%29%5E%7B3%7D%20%20-7%280%29%5E%7B2%7D%20%2B6)
f(0) = 6
Then when x = 0, y = 6
The coordinates for the graph (x, y) = (0, 6)
For the table choose different values, include: zero, negative and positive numbers.
x y
x = f(x)=
-20 -15330794
-15 -3582444
-10 -456694
-5 -12794
-1 2
0 6
1 4
5 17456
10 535306
15 3984306
20 16605206
Review the attached excel file, there you will see the table and how to do the calculations in the cell.
Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.
Also you can see the graph in the file.