Module 1 case

Module 1 case - Trident University Rafael E. Martinez...

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Trident University Rafael E. Martinez MAT101 - College Mathematics Module 1 Case Assignment Dr. Gregory Dlabach 1. Evaluate the function F (x) = 5x + 6 for x=-4. Solution: We have: F (-4) = 5(-4) + 6 F (-4) = -20 + 6 F (-4) = -14 2. Evaluate the function F(x) = 8x - 5 for x=3. Solution: We have: F (3) = 9(3) – 5 F (3) = 27 – 5 F (3) = 22 3. Take a look at the following table: x -2, -1, 0, 1, 2
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F(x) -5, -2, 1, 4, 7 a. Write out an equation for f(x). Assume the function is linear. Since f(x) is linear, we could assume that f(x) = ax, where a and b are real. By looking at the table, we could see that f (1) = 4 and f (0) = 1. Therefore we could get the following system: a*0+b=1 a*1+b=4 From the first equation, we get b= 1, and by plugging it into the second one we get: a=3. Therefore f(x) = 3x+1 b. What is the slope? Is it negative or positive? What information do we get from the slope? The slope of any linear function is a, the coefficient of x. In this case, that is 3. So slope = 3,
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Module 1 case - Trident University Rafael E. Martinez...

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