
Practice: Characteristics of Log Graphs
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a logarithmic function?
Back
A logarithmic function is the inverse of an exponential function, typically expressed as y = log_b(x), where b is the base.
2.
FLASHCARD QUESTION
Front
What is the base of a logarithm?
Back
The base of a logarithm is the number that is raised to a power to obtain a given number. For example, in log_b(x), b is the base.
Tags
CCSS.HSF.BF.B.5
3.
FLASHCARD QUESTION
Front
What does the graph of a logarithmic function look like?
Back
The graph of a logarithmic function is a curve that increases slowly and approaches the vertical line (asymptote) but never touches it.
Tags
CCSS.HSF-IF.C.7E
4.
FLASHCARD QUESTION
Front
What is an asymptote in the context of logarithmic functions?
Back
An asymptote is a line that the graph approaches but never touches. For logarithmic functions, the vertical asymptote is typically at x = 0.
Tags
CCSS.HSF-IF.C.7E
5.
FLASHCARD QUESTION
Front
How do transformations affect the graph of a logarithmic function?
Back
Transformations such as shifts and reflections can change the position and orientation of the graph. For example, y = log_b(x - h) + k shifts the graph right by h and up by k.
6.
FLASHCARD QUESTION
Front
What is the effect of shifting a logarithmic graph to the right?
Back
Shifting a logarithmic graph to the right by h units means the function will start at x = h instead of x = 0.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What is the effect of shifting a logarithmic graph down?
Back
Shifting a logarithmic graph down by k units lowers the entire graph by k, affecting the y-values.
Tags
CCSS.HSF-IF.C.7E
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