Let f(x) = ax + b, and g(x) = cx + d, where a, b,
c, and d, are any real numbers.
If f(x) and g(x) are graphed, what can you conclude about a, b, c, and/or
a. f(x) and g(x) are parallel?
b. f(x) and g(x) are perpendicular?
c. f(x) does not cross the x-axis?
d. g(x) is horizontal?
e. f(x) and g(x) have the same y-intercept?
During class, I have a basic
(low level) understanding of the problem while class participants are talking
about terminology, functions, and possible problem solutions. I have difficulty taking my basic
knowledge and putting it into terms someone else might understand. I believe the problem should be set up to
compare specified line functions and that a graphing calculator allows for
Solve/Investigate the Problem
Solved the problem by writing
and graphing the equations (make a table, pick x values, find y, plot
of the Problem
a. “a” and “c” have to be equal
for f(x) and g(x) to be parallel. “b” and “d” are different.
c. It is a horizontal line if
f(x) does not cross the x-axis. The
slope is 0.
g(x) is vertical.
e. Yes f(x) and g(x) have the
same y-intercept if b and d are same.
Extensions of the Problem
Additional practice using
Author & Contact