Solving Functions (Function Notation)

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•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is function notation?
Back
Function notation is a way to represent a function using symbols. It typically uses the format f(x), where 'f' is the name of the function and 'x' is the input variable.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
2.
FLASHCARD QUESTION
Front
How do you evaluate a function at a specific value?
Back
To evaluate a function at a specific value, substitute the value into the function's equation. For example, if f(x) = 2x + 3 and you want to find f(4), substitute 4 for x: f(4) = 2(4) + 3 = 11.
Tags
CCSS.HSF.IF.A.2
3.
FLASHCARD QUESTION
Front
What does it mean to solve for x in a function?
Back
Solving for x in a function means finding the value of x that makes the function equal to a specific output value. This often involves rearranging the equation.
Tags
CCSS.HSF.IF.A.2
4.
FLASHCARD QUESTION
Front
If f(x) = 3(3x - 7), what is f(5)?
Back
f(5) = 3(3(5) - 7) = 3(15 - 7) = 3(8) = 24.
Tags
CCSS.HSF.IF.A.2
5.
FLASHCARD QUESTION
Front
What is the process to solve f(n) = 14 for f(n) = 4 - 10n?
Back
Set 4 - 10n = 14. Rearranging gives -10n = 10, so n = -1.
Tags
CCSS.HSF.IF.A.2
6.
FLASHCARD QUESTION
Front
How do you find the inverse of a function?
Back
To find the inverse of a function, swap the input and output values and solve for the new output. For example, if f(x) = 2x + 3, the inverse would be found by solving x = 2y + 3 for y.
Tags
CCSS.HSF-BF.B.4A
7.
FLASHCARD QUESTION
Front
What is the significance of the domain in a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined. Understanding the domain helps in determining valid inputs.
Tags
CCSS.HSF.IF.A.1
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