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Properties of Periodic Function

graph of f(x)...

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graph of f(x)=x+1 is

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Q. The function

f

f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1 - x, & x < 0 1, & x = 0 x + 1, & x > 0 \end{matrix}

Draw the graph of

f (x)

.

Q. Graph the function

f (x) = \frac{1}{\sqrt{[x] - x}}

and also, determine the domain of

f (x)

.

Q. Graph the function

f (x) = 2 | x - 1 |

and find gradient of

f (x)

.

f (x) = (x + 1)^{2}

x \geq - 1

. If g(x) is a function whose graph is the reflection of the graph of f(x) in the line y=x, then g(x)=

Q. Suppose f(x) =

(x + 1)^{2}

\geq

-1. If g(x) is the function whose graph is reflection of the graph of f(x) with respect to line y = x, then g(x) equals

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