Question

Part A: A graph passes through the points (0, 4), (1, 8), and (2, 10). Does this graph represent a linear function or a non-linear function? Explain your answer in words.
Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)

Answer 1

Part A:  In (0,4) and (1,8), as x increases from 0 to 1, y increases from 4 to 8.  The slope of the line connecting these 2 pts. is (8-4) / (1-0), or 4.  Now do the same thing for the 2 pts (1,8) and (2, 10).  You will find that the slope in the 2nd case is different.  Thus, the 3 given pts do NOT lie on a straight line.  Function is non-linear.

Part B:  an example of a non-linear function would be y = 2x^2 - 5.  You can tell immediately from that exponent, 2, that this function is non linear.

An ex. of a linear function would include x to the 1st power only:  y = 3x - 7.

Answer 2

Answer:  This is what i got hope it helps

Part A:  In (0,4) and (1,8), as x increases from 0 to 1, y increases from 4 to 8.  The slope of the line connecting these 2 points. is (8-4) / (1-0), or 4.  Now do the same thing for the 2 points (1,8) and (2, 10).  You will find that the slope in the 2nd case is different.  Thus, the 3 given points  do NOT lie on a straight line.  Function is non-linear.

Part B:  an example of a non-linear function would be y = 2x^2 - 5.  You can tell that the exponent, 2, that this function is non linear.

Step-by-step explanation: