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?
- 0
- 5 (correct)
- 1
- -1
Which pair of equations is NOT a parametric form of $y = mx + c$?
Which pair of equations is NOT a parametric form of $y = mx + c$?
- $x = 2t + 3, y = 2mx - 3m + c$ (correct)
- $x = t + 1, y = mx + m + c$
- $x = t - 3, y = mx + c - 3m$
- $x = t, y = mx + c$
What is the solution to the inequality $x^2 - 3x < 5$?
What is the solution to the inequality $x^2 - 3x < 5$?
- $x > 2$
- $x < -2$
- $-1 < x < 5$ (correct)
- $x > 5$
Which inequality is equivalent to $2
eq 3x - 4$?
Which inequality is equivalent to $2 eq 3x - 4$?
What is the solution to $|3x - 1| + 2 < 7$?
What is the solution to $|3x - 1| + 2 < 7$?
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?
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?
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?
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?
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?
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?
If a function is one-to-many, what does this imply?
If a function is one-to-many, what does this imply?
What is the domain of $f^{-1}(x)$?
What is the domain of $f^{-1}(x)$?
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 $y$?
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?
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?
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?
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?
