Precalculus Midterm
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a. It indicates a point of discontinuity in the function.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a line y = b where a function approaches the value b as x approaches infinity or negative infinity. It describes the end behavior of the function.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
How do you find the inverse of a function?
Back
To find the inverse of a function, swap the x and y variables in the equation and solve for y. The resulting equation is the inverse function.
Tags
CCSS.HSF-BF.B.4A
4.
FLASHCARD QUESTION
Front
What is the transformation of a function?
Back
A transformation of a function involves changing its position, size, or orientation. Common transformations include translations, reflections, stretches, and compressions.
Tags
CCSS.HSF.BF.B.3
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be continuous?
Back
A function is continuous if there are no breaks, jumps, or holes in its graph. Formally, a function f(x) is continuous at a point x = a if lim (x -> a) f(x) = f(a).
6.
FLASHCARD QUESTION
Front
What is a point of discontinuity?
Back
A point of discontinuity is a point at which a function is not continuous. This can occur due to a hole, vertical asymptote, or jump in the function.
7.
FLASHCARD QUESTION
Front
How do you solve an equation involving a square root?
Back
To solve an equation involving a square root, isolate the square root on one side, square both sides of the equation, and then solve for the variable. Check for extraneous solutions.
Tags
CCSS.HSA.REI.A.2
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