Podcast
Questions and Answers
Which of the following represents a rational function?
Which of the following represents a rational function?
- $k(x) = 3x^3 - 5x$
- $h(x) = x^2$
- $g(x) = \frac{1}{x + 1}$ (correct)
- $f(x) = 2x + 1$
The function $f(x) = \frac{1}{x}$ has a domain that includes 0.
The function $f(x) = \frac{1}{x}$ has a domain that includes 0.
False (B)
What is the domain of the function $g(x) = \frac{1}{x + 1}$?
What is the domain of the function $g(x) = \frac{1}{x + 1}$?
x = {x | x ≠-1}
The range of the function $f(x) = \frac{x}{x - 1}$ is __________.
The range of the function $f(x) = \frac{x}{x - 1}$ is __________.
Match the following functions with their corresponding domain:
Match the following functions with their corresponding domain:
What is the common feature of the graphs of the functions $f(x)$ and $g(x)$?
What is the common feature of the graphs of the functions $f(x)$ and $g(x)$?
Identify the range of the function $f(x) = \frac{1}{x}$.
Identify the range of the function $f(x) = \frac{1}{x}$.
For the function $G(x) = \frac{2x}{x + 3}$, the value that x cannot take is __________.
For the function $G(x) = \frac{2x}{x + 3}$, the value that x cannot take is __________.
What is the vertical asymptote of the function $g(x) = \frac{2x - 1}{x + 3}$?
What is the vertical asymptote of the function $g(x) = \frac{2x - 1}{x + 3}$?
The horizontal asymptote of the function $g(x) = \frac{2x - 1}{x + 3}$ is y = 2.
The horizontal asymptote of the function $g(x) = \frac{2x - 1}{x + 3}$ is y = 2.
Identify one point on the graph of the function $g(x) = \frac{2x - 1}{x + 3}$ when x = -5.
Identify one point on the graph of the function $g(x) = \frac{2x - 1}{x + 3}$ when x = -5.
The equation of the horizontal asymptote is __________.
The equation of the horizontal asymptote is __________.
Match the following functions with their descriptions:
Match the following functions with their descriptions:
What is the domain of the function defined by $f(x) = \frac{x - 2}{x - 3}$?
What is the domain of the function defined by $f(x) = \frac{x - 2}{x - 3}$?
The range of the function $g(x) = \frac{2x - 1}{x + 3}$ includes the value 2.
The range of the function $g(x) = \frac{2x - 1}{x + 3}$ includes the value 2.
Identify the vertical asymptote for the function $g(x) = \frac{2x - 1}{x + 3}$.
Identify the vertical asymptote for the function $g(x) = \frac{2x - 1}{x + 3}$.
The vertical asymptote of the function $f(x) = \frac{x - 2}{x - 3}$ is __________.
The vertical asymptote of the function $f(x) = \frac{x - 2}{x - 3}$ is __________.
Match the following asymptotes with their corresponding functions:
Match the following asymptotes with their corresponding functions:
What does the range of the function $f(x) = \frac{x - 2}{x - 3}$ exclude?
What does the range of the function $f(x) = \frac{x - 2}{x - 3}$ exclude?
The graph of $g(x) = \frac{2x - 1}{x + 3}$ will intersect the line y = 2.
The graph of $g(x) = \frac{2x - 1}{x + 3}$ will intersect the line y = 2.
For the function $g(x) = \frac{2x - 1}{x + 3}$, what is the horizontal asymptote?
For the function $g(x) = \frac{2x - 1}{x + 3}$, what is the horizontal asymptote?
