Given the function f(x) = 6(x-4)2 + 3, which of the following statements is NOT TRUE?
1 answer:
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<h3>Answers</h3>
- 1a. Graph is decreasing on the interval
.
- 1b. Graph is increasing on two separate intervals:
- 2. Min value = 0.75, Max value = 3
- 3. 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
- 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
, which has its endpoints match up perfectly with the min and max found earlier.