What is a function?
8th STAAR 2.0 Review 1

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is a relation where each input (x-value) has exactly one output (y-value).
2.
FLASHCARD QUESTION
Front
What does it mean if a relation has a repeated x-value?
Back
If a relation has a repeated x-value, it is not a function because one input cannot correspond to multiple outputs.
3.
FLASHCARD QUESTION
Front
Identify a set of values that represents a function: (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)
Back
(6,-5) (7, -3) (8, -1) (9, 1) is a function because there are no repeated x-values.
4.
FLASHCARD QUESTION
Front
What is a proportional relationship?
Back
A proportional relationship is one where two quantities maintain a constant ratio.
5.
FLASHCARD QUESTION
Front
Which situation does not represent a proportional relationship?
Back
The total number of marbles in terms of the number of weeks, if Francisco has 36 marbles and purchases 5 additional marbles per week.
6.
FLASHCARD QUESTION
Front
What is the formula for direct variation?
Back
y = kx, where k is the constant of variation.
7.
FLASHCARD QUESTION
Front
If a force of 140 newtons stretches a spring 4 centimeters, what is the constant of variation?
Back
k = 4 cm / 140 N = 0.02857 cm/N.
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