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Questions and Answers
What does compressing a function mean?
What does compressing a function mean?
- When a function is multiplied by a coefficient greater than 1
- When a function is graphed horizontally
- When a function is added by a constant
- When a function is multiplied by a coefficient greater than zero but less than 1 (correct)
What is a coordinate plane?
What is a coordinate plane?
A two-dimensional surface on which points, lines and curves can be plotted.
What is the decay rate in the function f(x)=a(b^x)?
What is the decay rate in the function f(x)=a(b^x)?
The constant ratio b for a quantity that decreases over time.
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Study Notes
Compressing a Function
- Involves multiplying a function by a coefficient that is greater than zero but less than one.
- This transformation results in a "compression" of the graph vertically.
Coordinate Plane
- Represents a two-dimensional surface utilized for plotting points, lines, and curves.
- Comprises two scales: the x-axis (horizontal) and y-axis (vertical).
- Divided into four quadrants, accommodating both positive and negative values for each axis.
Decay Rate
- Defines the constant ratio for a quantity that diminishes over time.
- In the exponential function f(x) = a(b^x), the decay rate is represented by the base value b, applicable when 0 < b < 1.
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