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Answers1a. Graph is decreasing on the interval . 1b. Graph is increasing on two separate intervals: 2. Min value = 0.75, Max value = 33. Domain = , Range =

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Explanations:

1a. The graph decreases whenever the curve goes downhill as you read from left to right. This is from x = 3 to x = 13. So the decreasing interval is See figure 1 below. 1b. The graph increases when the graph goes uphill. This happens two separate times. First from x = 0 to x = 3. Then the second portion is from x = 13 to x = 18. Refer to figure 1.2. The min value is the smallest y value possible. This is y = 0.25 as shown in figure 2. This is where the lowest point on the so called "roller coaster" occurs. The max value is y = 3 which is where the highest point is located.3. The domain is the set of all allowed x values. This is from x = 0 to x = 18, including both endpoints. So we say the domain is . The range is a similar story but for the y values. The range is , which has its endpoints match up perfectly with the min and max found earlier.

(x-1)(x-1)(x-1)
(x^2-x-x+1)(x-1)
(x^2-2x+1)(x-1)
2x^2-2x+x-1+2x-x^2
2x^2 +x-1-x^2