Question

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study paths initial diagnostic: tx math bridge - stage 2
tx math bridge - stage 2
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gress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
which of the relations given by the following sets of ordered pairs is a function?
○ {(3, −3), (3, −1), (3, 1), (3, 3), (3, 5)}
○ {(−2, 5), (7, 5), (−4, 0), (3, 0), (1, −6)}
○ {(1, 2), (2, 3), (3, 4), (5, 6), (2, 1)}
○ {(2, −8), (1, −4), (0, 0), (1, 4), (2, 8)}
submit pass hold

Explanation:

Step1: Recall function definition

A function assigns each input (x-value) to exactly one output (y-value).

Step2: Check first set

Set 1: {(3,−3),(3,−1),(3,1),(3,3),(3,5)} → x=3 maps to 5 y-values → Not a function.

Step3: Check second set

Set 2: {(−2,5),(7,5),(−4,0),(3,0),(1,−6)} → All x-values (−2,7,−4,3,1) are unique → Is a function.

Step4: Check third set

Set 3: {(1,2),(2,3),(3,4),(5,6),(2,1)} → x=2 maps to 3 and 1 → Not a function.

Step5: Check fourth set

Set 4: {(2,−8),(1,−4),(0,0),(1,4),(2,8)} → x=1 maps to −4 and 4; x=2 maps to −8 and 8 → Not a function.

Answer:

{(−2, 5), (7, 5), (−4, 0), (3, 0), (1, −6)}