Question

The table shows ordered pairs for a polynomial function, fх f(x)-3 63--2 8-1 - 10 01 -12 83 63What is the degree of f?

Answer 1

An ordered pair shows you the value of y when the value of x is given and is written as (x, y). Therefore if the weight of the car is given (x) then you can determine the gas mileage (y). What we would now have as a table of values is;

`(4296,21),(3463,22),(3215,26),(4459,18),(3015,28),(2683,31)`

The graph is shown below;

Note that in the graph drawn above, on the coordinate grid the scale used is as follows;

On the x-axis, let 1 unit represent 500

On the y-axis, let 1 unit represent 5

The key to the graph is,

(3463, 22) is represented in blue

(3215, 26) is represented in green

(4459,18) is represented in purple

(3015,28) is represented in black

(2683, 31) is represented in orange

(4296, 21) is represented in red