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This file contains lessons about what is functions and its examples
Typology: Study notes
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Types of Functions:
x
n
x
n-
x
n-
+…+ a 1
x + a 0
, where n is a
non-negative integer and a 0
, a 1
, … a n
are real numbers.
- The symbol f(x) is read as “the function of x”
Kinds of Polynomial Function:
a. Linear function
o defined by f(x) =mx + b, a polynomial in the first degree whose graph is a line
b. Quadratic function
o A polynomial function defined by f(x) = ax
2
polynomial function in the second degree whose graph is a parabola
a) b)
Graph a represents a linear function, and graph b represents a quadratic function
In this function, each x value corresponds to one and only one y value. The graph of
which is a horizontal line
f ( x )=
g ( x )
h ( x )
wherein g(x) and h(x) are both polynomial
functions. The function
f ( x )=
x + 2
x − 2
is an example of a rational function
n
g ( x ) wherein g(x) is a polynomial function and n
is a non-negative integer greater than 1. The equation f
x
2 x + 4 is an example of
a radical function
x
= a
x
, where a ≥ 0 ∧ a ≠ 1. The relation f(x) = 2
x
is an
example of exponential function
a
x ,
where a ≥ 0 and a ≠ 1. The function f ( x )=log
2
x is an example of a logarithmic
function
formula. An absolute value function is an example of a piecewise-defined function
- Consider the function f ( x )=| x |. This function can be defined using the definition of
absolute value