What is domain restrictions and what causes them?

1 answer:

8 0

Domain restrictions are values of x which are not acceptable in a function.

They may be arbitrary because we simply want to ignore them. eg y = x^2 between 0 and 4

They may make no sense in the context, eg graph a compounding investment over next 20 years.
Negative values for x make sense here.

They may avoid mathematical impossibilities eg y = (x^2 - 4x) / (x - 4) which must avoid dividing by zero, so x cannot = 4.
The graph will look like the line y = x but have a hole where x= 4

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The answer to this word problem usinf discriminant

solniwko [45]

$\bf h=-9.8t^2+45t+1.2\implies 64.5=-9.8t^2+45t+1.2
\\\\\\
0=-9.8t^2+45t-63.3\\\\
-------------------------------$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{-9.8}t^2\stackrel{\stackrel{b}{\downarrow }}{+45}t\stackrel{\stackrel{c}{\downarrow }}{-63.3}
~~~~~~
\stackrel{discriminant}{b^2-4ac}=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}
\\\\\\
(45)^2-4(-9.8)(-63.3)\implies -456.36$

the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.

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Anna found the difference between thirteen and the product of four and a number. Which expression represents this phrase, and wh

liraira [26]

Answer:

Step-by-step explanation:

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2 years ago

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54 is greater than 45

Alinara [238K]

Yes 54 is greater then 45!

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Use the "mixed partials" check to see if the following differential equation is exact.

Nadya [2.5K]

Answer:

The equation is exact

F(x,y) = 3x4/4 - 3xy -y2

Step-by-step explanation:

The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.

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2 years ago

Line pq is the perpendicular bisector of line MN, what is QN?

GREYUIT [131]

We know that
if PQ <span>is the perpendicular bisector of line MN
then
MQ=QM
and
NP=MP
so
6x+1=10x-17----------> 10x-6x=17+1-----> 4x=18---------> x=18/4----> x=4.5

QN=2x+5-----> QN=2*4.5+5-----> QN=14

the answer is
QN is 14</span>

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3 years ago