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CRVA Math III Functions Review
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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).
Describe the function.
Nonlinear increasing
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.
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.
Which equation produces a graph with a straight line?
y = 2x + 7
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.
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 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
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.
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).
Explain whether y = 4x + 8 is a linear function or nonlinear function.
It is linear because the rate of change is 4/1 or 4. The line of the graph is straight.
True or False: A nonlinear function has a constant rate of change.
False, non-linear function does not have a constant rate of change.
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