Alg_Complete

# We are much more interested here in determining the

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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 ï if - 4 < t £ 15 g ( t ) = í10 ï1 - 6t if t > 15 î 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] 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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