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Unit 10.Classification of the elementary functions
Look through the table and try to memorize it.
functions reading
rational integral
functions
∑
=
=
4
k
ak
k
axy
y equals the sum of a (sub) K, x of the
power of k, taken k equal to zero to k equal
4
rational fractional
functions
2
2
7
x
x
y
+
+
=
y equal the fraction with the numerator 7
plus x and the denominator 2 minus x
squared
irrational
functions
22
xzy −−=
y equals the negative square root of the
difference z squared minus x squared
exponential
functions
xy ln=
y equals “l” “n” “x”
Y=sin x y equals the sine of x
Y=cos x y equals the cosine of x
Y=tg x y equals the tangent of x
Y=ctg x y equals the cotangent of x
Y=sec x y equals the secant of x
trigonometric
functions
Y=csc x y equals the cosecant of x
antitrigonometric
functions; or:
inverse
trigonometric
functions
xy
1
sin
−
=
y equals: the inverse sine of x,
or: the arcsine of x
or: the angle whose sine is x
23
Unit 10.Classification of the elementary functions
Look through the table and try to memorize it.
functions reading
rational integral 4
y equals the sum of a (sub) K, x of the
y = ∑ ax k
functions k
k =a power of k, taken k equal to zero to k equal
4
rational fractional 7+x y equal the fraction with the numerator 7
y=
functions 2+ x 2
plus x and the denominator 2 minus x
squared
irrational y = − z2 − x2 y equals the negative square root of the
functions difference z squared minus x squared
exponential y = ln x y equals “l” “n” “x”
functions
trigonometric Y=sin x y equals the sine of x
functions Y=cos x y equals the cosine of x
Y=tg x y equals the tangent of x
Y=ctg x y equals the cotangent of x
Y=sec x y equals the secant of x
Y=csc x y equals the cosecant of x
antitrigonometric y = sin x −1
y equals: the inverse sine of x,
functions; or: or: the arcsine of x
inverse or: the angle whose sine is x
trigonometric
functions
23
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