Functions Review
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the x- and y-intercepts of a function?
Back
The x-intercepts are the points where the graph of the function crosses the x-axis (y=0), and the y-intercept is the point where the graph crosses the y-axis (x=0).
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change of a function between two points?
Back
The average rate of change from x=a to x=b is given by the formula: \( \frac{f(b) - f(a)}{b - a} \).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
Evaluate f(-2) if f(x) = x^2 + 3.
Back
f(-2) = (-2)^2 + 3 = 4 + 3 = 7.
Tags
CCSS.HSF.IF.A.2
4.
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.
Tags
CCSS.8.F.A.1
5.
FLASHCARD QUESTION
Front
What does it mean for a relation to be 'not a function'?
Back
A relation is not a function if at least one input is associated with more than one output.
Tags
CCSS.8.F.A.1
6.
FLASHCARD QUESTION
Front
How do you find the minimum value of a quadratic function?
Back
For a quadratic function in the form \( f(x) = ax^2 + bx + c \), the minimum value occurs at \( x = -\frac{b}{2a} \) if \( a > 0 \).
7.
FLASHCARD QUESTION
Front
What is the vertex of a parabola?
Back
The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.
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