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Real Number System   Absolute Value   Functions and Graphs   Trigonometry   Basic Graphing Skills   Studying a Function   Algebraic Skills   Answer Section 
Section 1  Section 2  Section 3   Section 4  Section 5   Section 6  Section 7  Section 8  Section 9  Section 10  Section 11  Section 12   Section 13  Section 14  Section 15  Section 16  Section 17  Section 18   Section 19   Section 20  Section 21  Section 22   Section 23   Answers 
If a caterpillar is crawling around on a piece of graph paper, as shown below. Your teacher asks you to determine the location of the creature on the graph paper at particular times. Would you define the position of this caterpillar as a function of time?**


because it is made up of two separate rays. One is the equation f(x) = x and the other one is f(x) = x.
This function has no value a x = 2, but there is a function value at every other x value. This is not an asymptotic function. It is actually the same as the function y = x+2, but with a hole at the point where
x = 2 and y = 4.
Name 
Age 
Steve 
5 
Suzanne 
8 
Scott 
12 
Answer: Yes a set of values in a chart like the one above is a function. The chart assigns a single value (age) to each person.
Answer: This graph is a function. For each x value only one y value has been assigned. Of course for some x values the same y value has been assigned. This graph is modeling the greatest integer of x.
1. Tell whether each of the following is
or is not a function
a. 
b. 
c. 
d. 
e. 
2. Which of the following indicate that y is a function of x?
a. 
b. y = x/3 
c. xy = 8 
d. 
e. 
f. 
**Some of them material on functions is based on What do Students Really know about Functions? by Barbara Edwards and Karen Graham in the December, 2001 Mathematics Teacher)
This page was modified on 03/21/16
© Rahn, 2000