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Prove that f(x) = ax + b, where 'a and b...

Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a strictly increasing function for all real values of x, without using the derivative.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the value of 'a' for which f(x) = sinx - ax + b is decreasing fun...

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  2. Find the values of x for which y = [x(x-2)]^2 is an increasing functio...

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  3. Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a ...

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  4. Determine for which values of x, the following function are increasing...

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  5. Determine for which values of x, the following function are increasing...

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  6. Determine for which values of x, the following function are increasing...

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  7. Find the intervals in which the following functions are strictly incre...

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  8. Determine for which values of x, the following function are increasing...

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  9. For what value of 'x' are the following funtions increasing or decrea...

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  10. For what value of 'x' are the following funtions increasing or decrea...

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  11. Determine the intervals in which the following functions are strictly ...

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  12. Find the interval in which the function f(x)=10-6x-2x^(2) is strictly ...

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  13. Determine the intervals in which the following functions are strictly ...

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  14. Determine the intervals in which the following functions f (x)=x^2 - 4...

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  15. Determine the intervals in which the following functions are strictly ...

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  16. Determine the intervals in which the following functions are strictly ...

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  17. Determine the intervals in which the following functions are strictly ...

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  18. Determine the intervals in which the following functions are strictly ...

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  19. Determine the intervals in which the following functions are strictly ...

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  20. Find the intervals in which the following functions are strictly incre...

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