Podcast
Questions and Answers
What is the primary purpose of finding the inverse of a linear function?
What is the primary purpose of finding the inverse of a linear function?
- To simplify the function
- To find the domain and range of the function
- To graph the function
- To interchange the roles of the dependent and independent variables (correct)
What is the first step in finding the inverse of a linear function?
What is the first step in finding the inverse of a linear function?
- Express in function notation
- Solve for y
- Interchange x and y
- Start with the function (correct)
What is the resulting form of the inverse of a linear function?
What is the resulting form of the inverse of a linear function?
- Exponential function
- Quadratic function
- Rational function
- Linear function (correct)
What is the domain and range of the inverse function, assuming a ≠ 0?
What is the domain and range of the inverse function, assuming a ≠ 0?
What is the formula for the inverse of a linear function, given y = ax + q?
What is the formula for the inverse of a linear function, given y = ax + q?
What is the effect of interchanging the roles of the dependent and independent variables when finding the inverse of a linear function?
What is the effect of interchanging the roles of the dependent and independent variables when finding the inverse of a linear function?
What is the result of solving for y in the equation x = ay + q?
What is the result of solving for y in the equation x = ay + q?
Why is the inverse of a linear function also a linear function?
Why is the inverse of a linear function also a linear function?
What is the purpose of expressing the inverse function in function notation?
What is the purpose of expressing the inverse function in function notation?
What can be said about the graph of the inverse of a linear function?
What can be said about the graph of the inverse of a linear function?
If f(x) = 2x + 3, what is the value of f^{-1}(5)?
If f(x) = 2x + 3, what is the value of f^{-1}(5)?
Given a linear function f(x) = ax + q, which of the following statements is TRUE about the graph of its inverse function?
Given a linear function f(x) = ax + q, which of the following statements is TRUE about the graph of its inverse function?
What is the y-intercept of the inverse function of f(x) = 3x - 2?
What is the y-intercept of the inverse function of f(x) = 3x - 2?
If f(x) = -x + 1, what is the value of f^{-1}(-2)?
If f(x) = -x + 1, what is the value of f^{-1}(-2)?
Given a linear function f(x) = ax + q, what can be said about the relationship between the slopes of f(x) and its inverse function?
Given a linear function f(x) = ax + q, what can be said about the relationship between the slopes of f(x) and its inverse function?
