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Functions Quiz

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Web resources available

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.).

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

Question 1

Which of the following is the correct description of N = f (t)?

a)
N is a function, f, of t.
  b)
f is a function, N, of t.
c)
N is a function, t, of f.
  d)
t is a function, f, of N .

 

Your answer is correct.
Not correct. Choice (b) is false.
Try again, the function is called f.
Not correct. Choice (c) is false.
Try again, N is a function of t.
Not correct. Choice (d) is false.
Try again, N is a function of t.

Question 2

Which function below best describes the following statement?
The average daily level of carbon monoxide in the air is denoted by c, where c is a function of the population, p, 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.

a)
p(c) = 0.5c + 1.
  b)
p(c) = 0.5p + 1.
c)
c(p) = 0.5c + 1.
  d)
c(p) = 0.5p + 1.

 

Not correct. Choice (a) is false.
Try again, c is a function of p.
Not correct. Choice (b) is false.
Try again, c is a function of p.
Not correct. Choice (c) is false.
Try again, you must have p on the RHS of the equation.
Your answer is correct.

Question 3

Which of the following correctly gives the domain and range of y = 2x2 - 1?

a)
The domain is (- 1,∞ ) and the range is (- ∞,∞ ).
b)
The domain is (- ∞, ∞ ) and the range is [- 1,∞ ).
c)
The domain is (- ∞, ∞ ) and the range is (- 1,∞ ).
d)
The domain cannot be determined without more information.

 

Not correct. Choice (a) is false.
Try again, you seem to have confused the domain and range.
Your answer is correct.
There are no restrictions on the domain so it is all real numbers.
Since 2x2 ≥ 0 then we have 2x2 - 1 ≥ - 1 so the range is [- 1,∞).
Not correct. Choice (c) is false.
Try again, you have not included - 1 in the range but y = - 1 when x = 0.
Not correct. Choice (d) is false.
Try again, we have all of the information that we need.

Question 4

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?

a)
F = kr2.
  b)
k- F = r2.
c)
k- F = r .
  d)
F = kr.

 

Not correct. Choice (a) is false.
Try again, this is directly proportional to the square of the distance between the objects.
Your answer is correct.
Not correct. Choice (c) is false.
Try again, this is inversely proportional to the distance between the objects.
Not correct. Choice (d) is false.
Try again, this is directly proportional to the distance between the objects.
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