# SOLUTION: Hi, my son and I need some serious help with this particular question: Determine whether the relation in the table below is a function, and if so, write a function rule. Table rea

Algebra ->  Algebra  -> Functions -> SOLUTION: Hi, my son and I need some serious help with this particular question: Determine whether the relation in the table below is a function, and if so, write a function rule. Table rea      Log On

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Functions Question 482412: Hi, my son and I need some serious help with this particular question: Determine whether the relation in the table below is a function, and if so, write a function rule. Table reads: x y -1 1 0 2 2 4 3 5 a)yes;f(x)=-1(x) b)yes;f(x)=x/2 c)yes;f(x)=x+2 d)not a functionAnswer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!One way to solve this is graphically. Plot the given points (x, y) on a sheet of graph paper on which you drawn the x-axis (horizontal) and the y-axis (vertical). You should see a graph like this: To get the corresponding equation, you need to know two things about the line on the graph: its slope (m) and the y-intersection (b). The y-intersection is where the line crosses the y-axis and this is at (0, 2) and the slope (m) can be determined by picking any two points on the line and using the following formula: You can use any two points from the given list, say (-1,1) and (3, 5) as the x's and y's in the formula. The slope is 1. Now use the "slope-intercept form of a linear equation: and substitute and and you get: or So yes, it is a function.