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Precalculus Functions


									                    Precalculus Functions
Precalculus Functions

Precalculus, an advanced form of secondary school algebra, is a foundational
mathematical discipline. It is also called Introduction to Analysis. In many schools,
precalculus is actually two separate courses:

Algebra and Trigonometry. Precalculus prepares students for calculus the same
way as pre-algebra prepares students for Algebra I.

While pre-algebra teaches students many different fundamental algebra topics,
precalculus does not involve calculus, but explores topics that will be applied in

It often involves covering algebraic topics that might not have been given
attention in earlier algebra courses. Some precalculus courses might differ with
others in terms of content.

For example, an honors level course might spend more time on conic sections,
vectors, and other topics needed for calculus.

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A college prepatory class might focus on topics used in business-related careers,
such as matrices.

In Precalculus we study many topics which are Sets, real Numbers, complex
numbers, composite and polynomial Functions, trigonometry, limits, vectors,
metrics, conic section,

logarithm function, basic graphs, binomial theorem, mathematical induction,
sequence, series, roots and Rational Exponents, quadratic Functions,

inverse functions, inequality involving Rational functions, Algebraic simplification
and many more.

Here we will discuss precalculus functions. First we will discuss about functions?

If one object or thing is depends on the other, for example we can say that Area of
a Circle depends on the Radius of Circle, it Mean that when the radius of circle
changes then the area of circle also changes.

In the same way relationship between two variables that is ‘u’ and ‘v’ is known as
function. A rule which defines for each value of ‘u’ and ‘v’ then in this types of
case generally; ‘v’ is a function of u.

Thus, we can say that a function must be single-valued function. For example,

v = 2u + 3. For every value u there is a unique value of v.

Here the value of u is known as the domain of the function. These are the values
for which the function is defined.

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In the given function v = 2u + 3, the Domain may include all the real number ‘u’
may be any real number and the domain may be arbitrarily classified.

Once the domain is defined for a function then the values of ‘v’ that correspond to
the values of ‘u’ are known as The Range of a function. This is all about pre
Calculus functions.                                            Page No. : ­ 3/4
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