Domain & Range, Evaluating Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of a function?
Back
A function is a relation that assigns exactly one output for each input from its domain.
2.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
3.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce.
4.
FLASHCARD QUESTION
Front
Evaluate g(2) if g(x) = 3x + 1.
Back
g(2) = 3(2) + 1 = 7.
5.
FLASHCARD QUESTION
Front
If Frank has $33 to spend on paddle boat rental, what is the maximum number of hours he can rent the boat if the cost is C = 2h + 15?
Back
The maximum number of hours is 9, since 2h + 15 ≤ 33.
6.
FLASHCARD QUESTION
Front
Evaluate f(-2) if f(x) = x + 3.
Back
f(-2) = -2 + 3 = 1.
7.
FLASHCARD QUESTION
Front
Evaluate f(x) = x² for x = -8.
Back
f(-8) = (-8)² = 64.
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