Final Exam 581
graphs intersect at a single point. Suppose we consider these two functions as a system.
Based on the information shown,
(a) there is a single solution with multiplicity 2; it is an ordered pair of real numbers.
(b) there is a single solution with multiplicity 2; it is an ordered pair of pure
imaginary numbers.
(c) there is a single solution with multiplicity 2; it is an ordered pair of complex (but
not real) numbers.
(d) there are two solutions; one is an ordered pair of reals, and the other is an ordered
pair of pure imaginary numbers.
(e) there are two solutions; one is an ordered pair of reals, and the other is an ordered
pair of complex (but not real) numbers.
- Consider the following equation, which represents a function of the variable x:
y=x^2 + 3 x+ 1
We can write down ordered pairs such as (0,1) or (1,5) to show specific examples of this
function. In any such ordered pair, the second number represents a value of the
(a) codomain.
(b) dependent variable.
(c) bijection.
(d) inverse.
(e) essential domain.
- When we multiply a+jb by its conjugate, we get
(a)a^2 +b^2
(b)a^2 −b^2
x
y
Figure FE-14 Illustration for Final
Exam Question 136.
