VOCABULARY 1
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an asymptote in the context of exponential functions?
Back
An asymptote is a line that a graph approaches but never touches. In exponential growth functions, the horizontal asymptote is typically the x-axis (y=0).
Tags
CCSS.HSF-IF.C.7E
2.
FLASHCARD QUESTION
Front
What does the term 'exponential growth' mean?
Back
Exponential growth refers to an increase that occurs at a rate proportional to the current value, resulting in a rapid rise over time.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
Identify the characteristics of an exponential growth function.
Back
1. The function increases rapidly. 2. It has a horizontal asymptote. 3. The rate of growth accelerates as the value increases.
Tags
CCSS.HSF-IF.C.8B
4.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
The general form is f(x) = a * b^x, where 'a' is a constant, 'b' is the base (b > 1 for growth), and 'x' is the exponent.
Tags
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
How do you determine the base of an exponential function from a graph?
Back
The base can be determined by identifying the growth factor between points on the graph. If the function doubles every unit increase, the base is 2.
Tags
CCSS.HSF-IF.C.7E
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in an exponential function?
Back
The y-intercept represents the initial value of the function when x=0, which is equal to 'a' in the function f(x) = a * b^x.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
Explain the difference between linear and exponential growth.
Back
Linear growth increases by a constant amount, while exponential growth increases by a percentage of the current value, leading to much larger increases over time.
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