Questions and Answers
What does compressing a function mean?
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)?
The constant ratio b for a quantity that decreases over time.
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.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz covers the concepts of compressing functions, understanding the coordinate plane, and the decay rate in exponential functions. Test your knowledge on how these mathematical principles interrelate and affect graphs visually and numerically.
