Exponential Equations - Table, Graphs, Equations

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•
Mathematics
•
8th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an exponential equation?
Back
2.
FLASHCARD QUESTION
Front
What does the base of an exponential function represent?
Back
The base of an exponential function determines the rate of growth or decay. If the base is greater than 1, the function represents exponential growth; if it is between 0 and 1, it represents exponential decay.
Tags
CCSS.HSF-IF.C.8B
3.
FLASHCARD QUESTION
Front
How do you identify exponential growth in a table of values?
Back
Exponential growth can be identified in a table of values by observing that each value is multiplied by a constant factor (greater than 1) to get the next value.
Tags
CCSS.HSF-LE.A.1A
4.
FLASHCARD QUESTION
Front
What is the general form of an exponential function?
Back
5.
FLASHCARD QUESTION
Front
What is the difference between linear and exponential growth?
Back
Linear growth increases by a constant amount, while exponential growth increases by a constant factor. For example, in linear growth, the difference between consecutive values is constant, whereas in exponential growth, the ratio of consecutive values is constant.
6.
FLASHCARD QUESTION
Front
How can you represent an exponential function graphically?
Back
An exponential function can be represented graphically with a curve that rises steeply (for growth) or falls sharply (for decay) as you move along the x-axis.
Tags
CCSS.HSF-IF.C.7E
7.
FLASHCARD QUESTION
Front
What is the pattern in the sequence: 2, 6, 18, 54?
Back
The pattern is exponential growth, where each term is multiplied by 3 to get the next term (2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54).
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