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.
Oops!
Check
Okay!
Check
banana
Go to last place!
Oops!
star
Double points!
Okay!
shark
Other team loses 25 points!
Okay!
thief
Give points!
5
10
15
20
25
banana
Go to last place!
Oops!
rocket
Go to first place!
Okay!
shark
Other team loses 15 points!
Okay!
thief
Give points!
5
10
15
20
25
20
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.
Oops!
Check
Okay!
Check
10
Which equation produces a graph with a straight line?
y = 2x + 7
Oops!
Check
Okay!
Check
25
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
Oops!
Check
Okay!
Check
15
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.
Oops!
Check
Okay!
Check
baam
Lose 10 points!
Oops!
shark
Other team loses 20 points!
Okay!
gift
Win 15 points!
Okay!
baam
Lose 20 points!
Oops!
15
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.
Oops!
Check
Okay!
Check
5
True or False: A nonlinear function has a constant rate of change.
False, non-linear function does not have a constant rate of change.
Oops!
Check
Okay!
Check
20
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.
Oops!
Check
Okay!
Check
25
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).
Oops!
Check
Okay!
Check
lifesaver
Give 15 points!
Oops!
star
Double points!
Okay!
rocket
Go to first place!
Okay!
banana
Go to last place!
Oops!
15
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).
Oops!
Check
Okay!
Check
20
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.