Topic 5 Grade Improvement
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+3
Standards-aligned
Wayground Content
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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 can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What is an exponential function?
Back
An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base (a positive real number), and x is the exponent. It represents growth or decay.
3.
FLASHCARD QUESTION
Front
What does the term 'y-intercept' mean?
Back
The y-intercept is the point where a graph intersects the y-axis. It is the value of y when x = 0.
4.
FLASHCARD QUESTION
Front
What is the difference between exponential growth and exponential decay?
Back
Exponential growth occurs when the base of the exponential function is greater than 1 (b > 1), while exponential decay occurs when the base is between 0 and 1 (0 < b < 1).
Tags
CCSS.HSF-IF.C.8B
5.
FLASHCARD QUESTION
Front
How do you identify a linear function from a table of values?
Back
A linear function will have a constant rate of change between the x-values and y-values. If the differences in y-values divided by the differences in x-values are constant, the function is linear.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
What does the transformation 'right 3' mean in a function?
Back
The transformation 'right 3' means that the graph of the function is shifted 3 units to the right on the x-axis. For example, f(x) = 2^(x-3) is shifted right by 3.
Tags
CCSS.HSF.BF.B.3
7.
FLASHCARD QUESTION
Front
What is the general form of an exponential growth function?
Back
The general form of an exponential growth function is y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.
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