What is a key requirement for an equation to be considered a function of y in terms of x?

Understanding Functions and Their Properties

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Patricia Brown
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Each output y must have multiple inputs.
Each input x must have a unique output y.
Each input x must have multiple outputs.
Each output y must have a unique input.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation y = ax + 9, what happens when x equals 1?
y equals 0
y equals 10
y equals 8
y equals 9
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the equation y = ax + 9 considered a function?
Because it has no y values for any x.
Because it has a unique x value for each y.
Because it has a unique y value for each x.
Because it has multiple y values for each x.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of taking the square root of 4?
Both 2 and -2
Only -2
Only 2
Neither 2 nor -2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do equations involving square roots often not qualify as functions?
They have a unique y value for each x.
They have multiple y values for a single x.
They have multiple x values for a single y.
They have no solutions.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you solve y^2 = ax^2 + 1 for y?
You get a single y value.
You get no y values.
You get a unique x value.
You get two y values.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't certain equations be written as functions of y in terms of x?
They have a unique y value for each x.
They have multiple y values for each x.
They have a unique x value for each y.
They have no y values for any x.
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