this is how to represent a set notation from a graph, I will be showing you domain and range.

first we’ll start with domain and domain uses the x axis, with our graph our line starts at 1 on the x axis and ends at 8 and everything between there is x, not 1 and 8 because the circles are open where the numbers are, giving us domain equaling 1<x<8. moving onto the range being the y axis it starts at 2 and ends at 5 and x being everything in between but not 2 and 5 because again the circles are open which means you don’t include them in x making the range equal to 2<x<5

This is how you figure out an equation to go along with a table of values chart

first you take the difference between the output number and if it’s negative then you put negative and the number along with x but in our case it’s positive 3x then you add or subtract the difference between the result of 3x, x being the input number then you’d get +17 in our case and you’d check to see if the equation works with all 3 or 4 numbers you have and it should.

what we have here is an “ugly” trinomial, it’s basically a normal trinomial but you have to do a little extra work because of the leading coefficient being greater than 1

since the leading coefficient can relate to the other two numbers in the equation (9 and 30) they can be reduced to 3 and 10 because of division leaving us with x4+3×2+10 so then what we did was we just took the lead coefficient out and left us with a simple trinomial to factor so once you factor the trinomial as I did there you are left with the 3 which you put on the left outside of the brackets. If the coefficient didn’t relate with the other 2 numbers it would go to the left but inside the bracket