# The maximum and the minimum values, if any of the following functions f (x) = |x + 3| for all

### Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

### We have
*f* (*x*) = |*x* + 3| for all _{}
Now, |*x *+ 3| _{} for all _{}
_{} _{} for all _{}
So, the minimum value of *f *(*x*) is 0, which it attains at *x * = — 3
Clearly, *f *(*x*) = |*x + *3 | does not have the maximum value

*f*(

*x*) = |

*x*+ 3| for all

_{}

*x*+ 3|

_{}for all

_{}

_{}

_{}for all

_{}

*f*(

*x*) is 0, which it attains at

*x*= — 3

*f*(

*x*) = |

*x +*3 | does not have the maximum value

### Answered by | 4th Jun, 2014, 03:23: PM

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