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Find the requested value.

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2 Answers

Hi Jay,
 
we have to find the value for f(-5)
 
The equation f(x)=7x gives the value of f(x) when x is less than or equal to -1.
 
The equation f(x)=x-9 gives the value of f(x) when x is greater than -1.
 
since -5 is less than -1
 
so we will take the equation f(x)=7x to find the value for f(-5)
 
f(-5)=7(-5)=-35
In this example we will be substituting the value (-5) for x in the expression given.
 
The critical question is:
 
is -5 more or less than -1?
 
If it is less, then you use the first expression:  f(x) = 7x.
 
If it is more, then you use the second expression:  f(x) = x-9.
 
The actual numerical evaluation will proceed exactly as you would expect after that point.