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MISCELLANEOUS EXERCISE 6 (II) · Q162

Q.Let f:R→Rf:R\to R be given by f(x)=x+5f(x)=x+5 for all x∈Rx\in R. Draw its graph.

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f(x)=x+5f(x)=x+5 is a linear function with slope 11 and yy-intercept 55.

To plot it, mark two convenient points and join them with a straight line: at x=0x=0, y=5y=5, giving (0,5)(0,5); at x=−5x=-5, y=0y=0, giving (−5,0)(-5,0). The line rises at 45°45° (slope 11) and extends infinitely in both directions, matching the identity function's graph shif …

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