Question

Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). 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)

Answer 1

Answer:

A. non-linear B. y=x+2 and y = x^2 + x + 2

Step-by-step explanation:

A.  The slope from (0, 2) to (2, 6) is 2, but the slope from (2, 6) to (3, 12) is 6.

Linear functions do not change, so the function is non-linear.

B.   y=x+2 is a linear function and y = x^2+x+2 is non-linear

Answer 2

Answer: Non-linear.

Part b:

Linear: y=x+1

Non-Linear: y=-x²+4

Step-by-step explanation:

Only Part A: If you were to graph those 3 then the line would not be straight, linear functions must have straight lines.