MATH1111 Quizzes

Functions Quiz
Web resources available Questions

This quiz tests the work covered in Lecture 1 and corresponds to Section 1.1 of the textbook Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum et al.).

There are further web quizzes at Wiley. Choose section 1 from this page.

Be aware that it doesn’t seem to accept the written answers so you will have to check whether your answers are correct when they print the correct answer.

Go to economics quizzes for quiz questions on equations of lines and extra web resources.

The Mathematics Learning Centre has a booklet on Functions and Their Graphs and tutors who can help you with the concepts.

If you are looking for further resources, try Purple Maths and select the functions topics in Intermediate Algebra Topics.

You can test whether you understand whether something is a function, or not, at http://www.univie.ac.at/future.media/moe/tests/fun1/grongr.html

Which of the following is the correct description of $N=f\left(t\right)\phantom{\rule{0.3em}{0ex}}?$ Exactly one option must be correct)
 a) $N$ is a function, $f\phantom{\rule{0.3em}{0ex}},$ of $t\phantom{\rule{0.3em}{0ex}}.$ b) $f$ is a function, $N\phantom{\rule{0.3em}{0ex}},$ of $t\phantom{\rule{0.3em}{0ex}}.$ c) $N$ is a function, $t\phantom{\rule{0.3em}{0ex}},$ of $f\phantom{\rule{0.3em}{0ex}}.$ d) $t$ is a function, $f\phantom{\rule{0.3em}{0ex}},$ of $N\phantom{\rule{0.3em}{0ex}}.$

Choice (a) is correct!
Choice (b) is incorrect
Try again, the function is called $f\phantom{\rule{0.3em}{0ex}}.$
Choice (c) is incorrect
Try again, $N$ is a function of $t\phantom{\rule{0.3em}{0ex}}.$
Choice (d) is incorrect
Try again, $N$ is a function of $t\phantom{\rule{0.3em}{0ex}}.$
Which function below best describes the following statement?
The average daily level of carbon monoxide in the air is denoted by $c\phantom{\rule{0.3em}{0ex}},$ where $c$ is a function of the population, $p\phantom{\rule{0.3em}{0ex}},$ $c$ is measured in parts per million and $p$ is measured in thousands and $c$ is equal to 0.5 times the population plus one. Exactly one option must be correct)
 a) $p\left(c\right)=0.5c+1\phantom{\rule{0.3em}{0ex}}.$ b) $p\left(c\right)=0.5p+1\phantom{\rule{0.3em}{0ex}}.$ c) $c\left(p\right)=0.5c+1\phantom{\rule{0.3em}{0ex}}.$ d) $c\left(p\right)=0.5p+1\phantom{\rule{0.3em}{0ex}}.$

Choice (a) is incorrect
Try again, $c$ is a function of $p\phantom{\rule{0.3em}{0ex}}.$
Choice (b) is incorrect
Try again, $c$ is a function of $p\phantom{\rule{0.3em}{0ex}}.$
Choice (c) is incorrect
Try again, you must have $p$ on the RHS of the equation.
Choice (d) is correct!
Which of the following correctly gives the domain and range of $y=2{x}^{2}-1\phantom{\rule{0.3em}{0ex}}?$ Exactly one option must be correct)
 a) The domain is $\left(-1\phantom{\rule{0.3em}{0ex}},\infty \right)$ and the range is $\left(-\infty ,\infty \right)\phantom{\rule{0.3em}{0ex}}.$ b) The domain is $\left(-\infty \phantom{\rule{0.3em}{0ex}},\infty \right)$ and the range is $\left[-1,\infty \right)\phantom{\rule{0.3em}{0ex}}.$ c) The domain is $\left(-\infty \phantom{\rule{0.3em}{0ex}},\infty \right)$ and the range is $\left(-1,\infty \right)\phantom{\rule{0.3em}{0ex}}.$ d) The domain cannot be determined without more information.

Choice (a) is incorrect
Try again, you seem to have confused the domain and range.
Choice (b) is correct!
There are no restrictions on the domain so it is all real numbers.
Since $2{x}^{2}\ge 0$ then we have $2{x}^{2}-1\ge -1$ so the range is $\left[-1,\infty \right)\phantom{\rule{0.3em}{0ex}}.$
Choice (c) is incorrect
Try again, you have not included $-1$ in the range but $y=-1$ when $x=0\phantom{\rule{0.3em}{0ex}}.$
Choice (d) is incorrect
Try again, we have all of the information that we need.
The force of gravitational attraction, $F$, between two objects is inversely proportional to the square of the distance, $r$, between them.
Which of the following could be a formula which represents this function? Exactly one option must be correct)
 a) $F=k{r}^{2}\phantom{\rule{0.3em}{0ex}}.$ b) $F=\frac{k}{{r}^{2}}\phantom{\rule{0.3em}{0ex}}.$ c) $F=\frac{k}{r}\phantom{\rule{0.3em}{0ex}}.$ d) $F=kr\phantom{\rule{0.3em}{0ex}}.$

Choice (a) is incorrect
Try again, this is directly proportional to the square of the distance between the objects.
Choice (b) is correct!
Choice (c) is incorrect
Try again, this is inversely proportional to the distance between the objects.
Choice (d) is incorrect
Try again, this is directly proportional to the distance between the objects.