Which equation produces a graph with a straight line?
y = 2x + 7
Describe the function.
Nonlinear increasing
Does the table show a linear or nonlinear function? Explain why.
Nonlinear, the line of the graph is not straight. The rate of change is not constant.
Does the table show a function? Explain why or why not.
Yes, there is only one output for each input.
Name an ordered pair that you could add to the table that would make it NOT be a function.
Ex: (-1 , 8) ...there are two outputs for one input.
Does the graph show a function? If yes, it is linear or non-linear? Explain.
Yes, it is a function - one output per input. Non-linear - it is not a straight line.
Which graph illustrates this scenario: Remi ran for 13 minutes, walked for 17 minutes, ran for another 13 minutes, then sat down to rest for 17 minutes.
B
Which equation is not a function? Explain why.
y^2 = x - 1 when graphed, it fails the vertical line test. There are two outputs for each input (square root).
Name an ordered pair that you could add to the table to make it a linear function.
(1 , 31) or (-7 , -1) or (0 , 27) many others... rate of change is 8/2 or 4/1
Which graph illustrates this scenario: Daniel ran for 13 minutes, stopped for 17 minutes because of a cramp, ran for another 13 minutes, then ran at a slower pace for the final 17 minutes.
A
Which section of the function is constant? Why?
C, because the y-value remains the same. The rate of change is 0 (there is not change = constant).
Does the graph show a function? If yes, it is linear or non-linear? Explain.
Not a function. Vertical line test. Two outputs for one input.