Podcast
Download our mobile app to listen on the go
Get App
Questions and Answers
If f(x) = 2x^2 + 3x - 1, what is the equation of the inverse function f^-1(x)?
If f(x) = 2x^2 + 3x - 1, what is the equation of the inverse function f^-1(x)?
- x = ±√((y+1)/2 + 3/4)
- x = ±√((y+1)/2 - 3/4) (correct)
- x = ±√((y-1)/2 - 3/4)
- x = ±√((y-1)/2 + 3/4)
What is the value of sin(2arcsin(1/2))?
What is the value of sin(2arcsin(1/2))?
- 0
- √3/2 (correct)
- 1/2
- 1/√2
A parametric curve is defined by the equations x = 2t + 1, y = t^2 - 3. What is the equation of the Cartesian curve?
A parametric curve is defined by the equations x = 2t + 1, y = t^2 - 3. What is the equation of the Cartesian curve?
- y = (x+1)^2 + 3
- y = (x+1)^2 - 3
- y = (x-1)^2 + 3
- y = (x-1)^2 - 3 (correct)
If f(x) = 2sin(x) and g(x) = 3cos(x), what is the value of f(g(arcsin(1/2)))?
If f(x) = 2sin(x) and g(x) = 3cos(x), what is the value of f(g(arcsin(1/2)))?
Signup and view all the answers
What is the value of the expression cos(2arccos(1/3))?
What is the value of the expression cos(2arccos(1/3))?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Algebraic and Graphical Concepts
- Uses algebraic and graphical concepts to model and solve problems involving functions and their inverses
- Applies concepts to manipulate algebraic expressions and graphical functions to solve problems
Trigonometric Functions
- Applies concepts and techniques of inverse trigonometric functions to solve problems
- Simplifies expressions involving compound angles to solve problems
Technology in Problem-Solving
- Uses appropriate technology to investigate, organize, and interpret information to solve problems in a range of contexts
Communication in Mathematics
- Communicates mathematical ideas making comprehensive use of mathematical language, notation, diagrams, and graphs
Chapters and Topics
- Inverse and Parametric Functions: chapters 6 and 7, covering topics 6.07, 6.08, 6.09, and 7.10
- Further Trigonometric Identities and Inverse Trigonometric Functions: chapter 11
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
