Directions: You have been commissioned to create a piece of art using six (6) functions and at least three (3) transformations. The six functions are as follows: • Cubic function and its inverse • Exponential function and its inverse ● Rational function and its inverse The three transformations are as follows: • Vertical stretch ● Horizontal translation • Vertical translation 1. Write the cubic, exponential, and rational functions you are choosing. State the transformations that occurred compared to the parent function. 2. Then write the inverse of each function, showing how you got the inverse algebraically. 2 Crank all civ of your functi
Directions: You have been commissioned to create a piece of art using six (6) functions and at least three (3) transformations. The six functions are as follows: • Cubic function and its inverse • Exponential function and its inverse ● Rational function and its inverse The three transformations are as follows: • Vertical stretch ● Horizontal translation • Vertical translation 1. Write the cubic, exponential, and rational functions you are choosing. State the transformations that occurred compared to the parent function. 2. Then write the inverse of each function, showing how you got the inverse algebraically. 2 Crank all civ of your functi
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Directions: You have been commissioned to create a
piece of art using six (6) functions and at least three (3)
transformations.
The six functions are as follows:
• Cubic function and its inverse
• Exponential function and its inverse
● Rational function and its inverse
The three transformations are as follows:
• Vertical stretch
● Horizontal translation
• Vertical translation
1. Write the cubic, exponential, and rational
functions you are choosing. State the
transformations that occurred compared to the
parent function.
2. Then write the inverse of each function,
showing how you got the inverse algebraically.
3. Graph all six of your functions on the same
graph (you can use Desmos for this), creating
your work of art. Include a screenshot of your
graph (art).
4. (Optional) Give your art a title and state the
price.
5. Explain how you can use symmetry to
determine if you have correctly found the inverse
of a function.
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