Podcast
Questions and Answers
For which value of $x$ is the function $f^{-1}(x)$ not defined?
For which value of $x$ is the function $f^{-1}(x)$ not defined?
Which pair of equations is NOT a parametric form of $y = mx + c$?
Which pair of equations is NOT a parametric form of $y = mx + c$?
What is the solution to the inequality $x^2 - 3x < 5$?
What is the solution to the inequality $x^2 - 3x < 5$?
Which inequality is equivalent to $2
eq 3x - 4$?
Which inequality is equivalent to $2 eq 3x - 4$?
Signup and view all the answers
What is the solution to $|3x - 1| + 2 < 7$?
What is the solution to $|3x - 1| + 2 < 7$?
Signup and view all the answers
What is the largest domain containing $x = 5$ for which the inverse of $y = x^2 - 2$ is a function?
What is the largest domain containing $x = 5$ for which the inverse of $y = x^2 - 2$ is a function?
Signup and view all the answers
Which of the following is true about the inverse of a many-to-one function?
Which of the following is true about the inverse of a many-to-one function?
Signup and view all the answers
If the graph of 𝑦 = 𝑓(𝑥) passes through (1, 4), (3, 1), and (4, -1), what points does the graph of 𝑦^2 = 𝑓(𝑥) pass through?
If the graph of 𝑦 = 𝑓(𝑥) passes through (1, 4), (3, 1), and (4, -1), what points does the graph of 𝑦^2 = 𝑓(𝑥) pass through?
Signup and view all the answers
Which pair of equations is NOT a parametric form of 𝑦 = (2𝑥−3)^2?
Which pair of equations is NOT a parametric form of 𝑦 = (2𝑥−3)^2?
Signup and view all the answers
For which value of 𝑥 is the function 𝑓(𝑥) = 𝑥 + 1 not defined and has a zero?
For which value of 𝑥 is the function 𝑓(𝑥) = 𝑥 + 1 not defined and has a zero?
Signup and view all the answers
In the context of functions, what does it mean if a function is many-to-one?
In the context of functions, what does it mean if a function is many-to-one?
Signup and view all the answers
If a function is one-to-many, what does this imply?
If a function is one-to-many, what does this imply?
Signup and view all the answers
What is the domain of $f^{-1}(x)$?
What is the domain of $f^{-1}(x)$?
Signup and view all the answers
What is the inverse of $y = (x - 2)^3 - 5$ in terms of $y$?
What is the inverse of $y = (x - 2)^3 - 5$ in terms of $y$?
Signup and view all the answers
What is the value of $t$ that gives the minimum value of $y$, in the parametric equations given?
What is the value of $t$ that gives the minimum value of $y$, in the parametric equations given?
Signup and view all the answers
What is the Cartesian equation of the parabola defined by the parametric equations?
What is the Cartesian equation of the parabola defined by the parametric equations?
Signup and view all the answers
In the graph of $y = f(x)$, if $(a,b)$ and $(c,d)$ are points on the curve, what does sketching $y = f(|x|)$ involve?
In the graph of $y = f(x)$, if $(a,b)$ and $(c,d)$ are points on the curve, what does sketching $y = f(|x|)$ involve?
Signup and view all the answers
For the equation $-b \pm \sqrt{b^2 - 4ac}$, what does it represent when $a,b,c,x$ are plugged in?
For the equation $-b \pm \sqrt{b^2 - 4ac}$, what does it represent when $a,b,c,x$ are plugged in?
Signup and view all the answers