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Chapter 1: Problem 29

Evaluate the function for the indicated values. \(k(x)=\left[\frac{1}{2} x+6\right]\) (a) \(k(5)\) (b) \(k(-6.1)\) (c) \(k(0.1)\) (d) \(k(15)\)

Short Answer

Expert verified
The value of the function \(k(x)\) when \(x = 5\) is 8.5, when \(x = -6.1\) is -3.05, when \(x = 0.1\) is 6.05, and when \(x = 15\) is 13.5.

Step by step solution

01

Evaluate for \(k(5)\)

Substitute \(x = 5\) into the equation. This gives us \(k(5) = \left[\frac{1}{2} * 5+6\right] = 8.5\)
02

Evaluate for \(k(-6.1)\)

Now substitute \(x = -6.1\) into the equation. We obtain \(k(-6.1) = \left[\frac{1}{2} * (-6.1) + 6\right] = -3.05\)
03

Evaluate for \(k(0.1)\)

Next, substitute \(x = 0.1\) into the equation. This results in \(k(0.1) = \left[\frac{1}{2} * 0.1 + 6\right] = 6.05\)
04

Evaluate for \(k(15)\)

Finally, substitute \(x = 15\) into the equation. This gives us \(k(15) = \left[\frac{1}{2} * 15 + 6\right] = 13.5\)

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