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Unformatted text preview: use depends upon value of x. So, in the
absolute value example we will use the top piece if x is positive or zero and we will use the
bottom piece if x is negative.
Let’s take a look at evaluating a more complicated piecewise function. Example 3 Given,
ì3t 2 + 4 if t £ -4
if - 4 < t £ 15
g ( t ) = í10
ï1 - 6t
if t > 15
evaluate each of the following.
(a) g ( -6 ) [Solution]
(b) g ( -4 ) [Solution]
(c) g (1) [Solution]
(d) g (15 ) [Solution]
(e) g ( 21) [Solution]
Before starting the evaluations here let’s notice that we’re using different letters for the function
and variable than the ones that we’ve used to this point. That won’t change how the evaluation
works. Do not get so locked into seeing f for the function and x for the variable that you can’t do
any problem that doesn’t have those letters.
Now, to do each of these evaluations the first thing that we need to do is determine which
inequality the number satisfies, and it will only satisfy a single inequali...
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- Spring '12