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GRAPHS OF ELEMENTARY FUNCTIONS

GRAPHS OF POLYNOMIAL AND RATIONAL FUNCTIONS

GRAPHS OF TRIGONOMETRIC FUNCTIONS

Draw the graph of y=1(1/x).

Draw the graph of y=(x−1)(x2−x+1).

Draw the graph of y= cosec 2x−cot2x. Is f(x) periodic ? If yes, what is its fundamental period ?

Draw the graph of the function f(x)=max.sinx,cos2x,x∈[0,2π]. Write the equivalent definition of f(x) and find the range of the function.

Write the equivalent definition and draw the graphs of the following functions.

(a) f(x)=sgn(loge|x|)

(b) f(x)=sgn(x3−x)

Write the equivalent definition and draw the graphs of the following functions. f(x)=sgn((log)e|x|)

Draw the graph of the function f(x)=max{sinx,cos2x},x∈[0,2π]. Write the equivalent definition of f(x) and find the range of the function.

Write the equivalent definition and draw the graphs of the following functions. f(x)=sgn(x3−x)

Draw the graph of the function f(x)=max.sinx,cos2x,x∈[0,2π]. Write the equivalent definition of f(x) and find the range of the function.

Draw the graph of the function f(x)=max{x,x2} and write its equivalent definition.

Write the equivalent definition and draw the graphs of the following functions. f(x)=sgn((log)e|x|)

Draw the graph of the function f(x)=max.(sinx,cos2x),x∈[0,2π]. Write the equivalent definition of f(x) and find the range of the function.

Write the equivalent definition and draw the graphs of the following functions. f(x)=sgn(x3−x)

Draw the graph of the function f(x) = max. {x, x^(2)} and write its equivalent definition.

Let f(x)=max{x,x^(2)} . Then, equivalent definition of f(x).