Answer:
The extraneous solution is m = -2
Step-by-step explanation:
This is normally solved by squaring both sides and solving the resulting quadratic.
The values of m that make the factors zero are 5 and -2. For m=5, the equation becomes ...
5-3 = √(19-3·5) ⇒ 2 = √4 . . . . . true
For m = -2, the equation becomes ...
-2-3 = √(19-3(-2)) ⇒ -5 = √25 . . . . . not true
The extraneous solution is m = -2.
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Solving the equation graphically, it becomes readily apparent that the only solution is m=5. Extra work is required to see the extraneous solution is m=-2.
Answer:
a.
Step-by-step explanation:
A catenary looks a lot like a parabola. Only graph "a" has that appearance.
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A graphing calculator can help you choose, or you can recognize the nature of the terms of the sum.
e^x looks like graph D; e^-x looks like graph B. Their sum will always be positive, so cannot create graph C. At x=0, the average of the two graphs B and D will be 1, corresponding to the minimum of graph A.
First of all, let's define what a function is:
A function from a set
to a set
is a relation that assigns to each element
in the set
exactly one element
in the set
. The set
is the domain (also called the set of inputs) of the function and the set
contains the range (also called the set of outputs).
The ordered pairs has been plotted below. As you can see, the set B is the only relation that meets the requirements of the concept of function because that relation assigns each element in the set
exactly one element
in the set
. For the other sets, at least one element
in the set
matches to two or more elements
in the set
.
