### Functions: Domain and range

### Function rule

We have just seen that a function can have a corresponding formula. From now on we will also give functions a name. This can be convenient if we are dealing with multiple functions. It helps us in easily identifying which function we mean.

#f(-3)=# #122#

After all, to calculate #f(-3)#, we substitute #x=-3# in the function.

We then get: \[f(-3)=\left(-6\right)\cdot \left(-3\right)^3-8\cdot \left(-3\right)^2+ \left(-9\right)\cdot \left(-3\right)+5=122\]

Hence, #f(-3)=122#.

After all, to calculate #f(-3)#, we substitute #x=-3# in the function.

We then get: \[f(-3)=\left(-6\right)\cdot \left(-3\right)^3-8\cdot \left(-3\right)^2+ \left(-9\right)\cdot \left(-3\right)+5=122\]

Hence, #f(-3)=122#.

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