Comparing Functions TEST

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that graphs to a straight line. It can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What is exponential growth?
Back
Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time. It can be represented by the function f(x) = a(1 + r)^x.
3.
FLASHCARD QUESTION
Front
How do you determine if a function is linear, exponential, or quadratic?
Back
You can determine the type of function by analyzing its rate of change: linear functions have a constant rate of change, exponential functions have a variable rate of change that increases, and quadratic functions have a rate of change that itself changes.
4.
FLASHCARD QUESTION
Front
What is the difference between linear growth and exponential growth?
Back
Linear growth increases by a constant amount over equal intervals, while exponential growth increases by a percentage of the current value, leading to faster growth over time.
5.
FLASHCARD QUESTION
Front
If Jeremy chooses Plan 1, how much will he earn after 12 days?
Back
Plan 1: $6.00 + ($0.50 * 11) = $6.00 + $5.50 = $11.50.
6.
FLASHCARD QUESTION
Front
If Jeremy chooses Plan 2, how much will he earn after 12 days?
Back
Plan 2: $0.01 doubled for 12 days = $0.01 * 2^11 = $0.01 * 2048 = $20.48.
7.
FLASHCARD QUESTION
Front
What does a scatter plot showing linear growth look like?
Back
A scatter plot showing linear growth will have points that form a straight line or close to a straight line, indicating a constant rate of change.
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