11th Math Practical No.15 Functions. Answer Solution | Maharashtra Board HSC Board | Balbharati

 

11th Std Math Practical

Mathematics and Statistics (Arts and Science)

Answers (Solutions)

Practical  No.15

15) Functions

Practical Session No. 15-Functions

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Let's see What you will Study in these Chapters

Practical Session No. 15
Functions

Theory: Vertical shift : For 0c> , ()fxc+shifts graph of ()fx to cunits upward , and ()fxc− shifts graph of ()fxto c units downward.

Horizontal shift : For 0c>,()fxc+ shifts graph of ()fx to c units to left , and ()fxc−shifts graph of ()fx to c units to right.

Reflection about -axisX:()fx−reflects the graph about -axisX

Reflection about -axisY:()fx−reflects the graph about

Note: If ()()fxfx−=, then ()fx is called Even Function, where the graph is symmetric about x-axis (i.e. Reflection about -axisy) , and if ()()fxfx−=−, then ()fx is called Odd function, where the graph is symmetric about Origin.

Activity:

1) Draw the graph of ()2xfx=and ()()42xhx−=on the same graph paper

2) Draw the graph of ()logfxx=and ()()log1hxx=+on the same graph paper

3) Draw the graph of ()fxx=and ()32hxx=−+on the same graph paper

4) Draw the graph of ()3fxx=and ()3hxx=−on the same graph paper.

5)Draw the graph of ()[]cos,0,2fxxxπ=∈and ()[]cos,0,2hxxxπ=−∈on the same graph paper.

6) Draw the graph of ()fxx=and ()hxx=−on the same graph paper.

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