he table shown represents a function. x f(x) 2 -2.5 3 -2 4 -1.5 5 -1 7 0 What is the equation that represents the function shown?
+118723 he table shown represents a function. x f(x) 2 -2.5 3 -2 4 -1.5 5 -1 7 0 What is the equation that represents the function shown?
| x | 2 | 3 | 4 | 5 | 7 | |
| f(x) | -2.5 | -2 | -1.5 | -1 | 0 | |
When x goes up by 1, F(x) goes up by a half.
So it is a line with a gradient of 1/2
\(y=\frac{1}{2}x+b\\\)
Sub in one of the points to get b any point will do (7,0)
0= half of 7 +b
0= 3.5 +b
b=-3.5
\(y=\frac{1}{2}x-3.5\\ y=0.5x-3.5\\\)
You shoulod sub each of the points in to check that it works.
Also making a table like I did is really easy. The table button is on the ribbon, just click into it :)
