The set below displays a relation between two sets. Identify all the elements of the domain and range.
{(a,9), (b,7), (d, 2), (c, 4), (f, 1), (h, 0)}
a
b
c
d
e
f
g
h
0
1
2
3
4
5
6
7
8
9
Domain
Range
1
2.
Emmy is sure that the relation from question 1 is a function. When Terrance askes her for a reason, she explains, "no two of those ordered pairs has the same first value."
Is Emmy's reasoning correct? Make sure explain your answer and include an explanation of what a function is.
1
3.
From the relations below, select all and only the relations that are functions.
1
4.
Evaluate f(-5) for the function f(x)=3x+9.
f(-5)=
1
5.
Select the linear function that matches the input/output pairs shown below:
1
6.
Which function matches the graph?
1
7.
Our old friend f(C) = \frac{9}{5}C+32 is a function that changes input temperatures in degrees Celcius to output temperatures in degrees Fahrenheit.
A) Evaluate f(-40) and explain what your result means in terms of degrees Celcius and Fahrenheit.
B) The temerature -273.15 ^{\circ}C=-459.67 ^{\circ}F is known as "absolute zero" - the coldest possible temperature. Is absolute zero a limit on the domain of this function, the range, both, or neither? Explain your reasoning.
