A social studies teacher has a collection of true/false questions she uses on tests. In her automatic quiz-maker program, each of these questions is connected with a correct answer, either "T" or "F".
A) Make a visual representation of the relation between questions and answers.
B) Explain whether or not the relation is a function.
Question 3
3.
Question 4
4.
Evaluate f(15) and f(-5) for the function f(x)=\frac{4}{9}x-\frac{2}{3}.
Question 5
5.
Question 6
6.
Question 7
7.
The set below displays a relation between two sets. Identify all the elements of the domain and range.
Square
Rectangle
Triangle
Blue
Green
Hexagon
Circle
Nonagon
Purple
Yellow
Octagon
Red
Domain
Range
From the relations below, select all and only the relations that are functions.
A relation from the set A of algebra students to the set D of birth dates such that any student a\in A is mapped to a date d \in D if and only if person a was born on date d.
Select the linear function that matches the input/output pairs shown below:
f(x)=\frac{2}{3}x-2
f(x)=-\frac{3}{2}x-2
f(x)=-\frac{2}{3}x+2
f(x)=\frac{3}{2}x+2
Which function matches the graph?
f(x)=-\frac{1}{5}x+\frac{3}{4}
f(x)=\frac{1}{5}x-\frac{3}{4}
f(x)=5x-\frac{3}{4}
f(x)=-5x+\frac{3}{4}
Laboratories with delicate instruments are often kept at "standard temperature temperature and pressure", 20 \textrm{ }^{\circ}\textrm{C} and 1 \textrm{ atm}. A small computer chip in a lab's thermostat is updated every 30 seconds with the current room temperature via a small wire. With another wire, it outputs either an "ON" signal or an "OFF" signal, depending on whether or not the current room temperature is below or above the target temp of 20 \textrm{ }^{\circ}\textrm{C}.
Which of the following statements are true about the relation between input temperature and output signal?
The relation is a function.
The range includes infinite elements.
More than one element in the domain is mapped to a single element of the range.
A unique element in the domain is mapped to more than one distinct elements in the range.