MAT 108 Environmental Issues: A Mathematical Modeling Approach
Earth Algebra Homework: Assignment 5 on Functions
GLOSSARY
Domain - Set of all "allowable" values of the independent variable, x.
Range - Set of all "achievable" values of the dependent variable, y.
Integer - Whole number
Complete after reading all of the Introduction and chapter 1 of Earth Algebra.
Then on a separate piece of paper do the following problems from the Earth Algebra text do the
folloing:
1.5 A: 1, 5 (Be sure to do all four of the parts!)
1.5 B: 1, 2, and 3
C. Next do all of the following:
1. a. Show that the (x, y) pair (1, 4) satisfies the equation 4x - 3y = - 8 while (4, 1) does not.
b. Solve the equation 4x - 3y = - 8 for y.
Then find y to satisfy the equation 4x - 3y = - 8 when x = 3.5.
c. Find five other (x, y) pairs that satisfy the equation 4x - 3y = - 8.
Then find x to satisfy the equation 4x - 3y = - 8 when y = 3.5.
d. Draw a x-y coordinate system
and plot the points that you
determined above that satisfy
the equation 4x - 3y = - 8 on
this set of axes. Then smoothly
connect these points and
indicate with arrows the entire
solution set for the equation 4x
- 3y = - 8.
2. If f(x) = 3x + 6 and
g(x) x2
then find all of the following:
a. f(1) b. f(1) + g(3) c. f(g(3)) d. f(w)
