Eureka Algebra

Which are the intervals for the graph?

• Dec: (-∞, 3)∪(4.5, -6)

  Inc: (3, 4.5) ∪ (-6, ∞)

• Inc: (-∞, -2)∪(-1, 1)

  Dec: (-2, -1) ∪ (1, ∞)

• Inc: (-∞, -2) Dec: (-2, ∞)

• Dec: (-∞, -2)∪(-1, 1)

  Inc: (-2, -1) ∪ (1, ∞)

Which is an interval of decreasing for the graph?

• (-∞, -2)

• (-1, 1)

• (-2, 2)

• (-∞, -1)

• Decreasing Interval

• Increasing Interval

• Constant Interval

• Positive Interval

• Negative Interval

• Decreasing Interval

• Increasing Interval

• Constant Interval

• Positive Interval

• Negative Interval

On which interval(s) is the function positive?

• (-∞, -1)

• (1, 3)

• (0, 2)

• (-∞, ∞)

On which interval(s) is the function negative?

Which coordinate would qualify as the *absolute maximum* of this function?

• ∞

• (0, 4)

• 3

• (4, 0)

How many relative maximums does this function have?

• 1

• 2

• 3

• 4

Leonard compared the cost of purchasing a gallon of gas at two different gas stations. The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months. Which statement is true?

• The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

• The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

• The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

• The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

The function f(x) = 14,000(1.3)^x models the population of of town 1 x years after January 2006. The table below shows the population of town 2 in different years. Assuming both towns continue to grow at the same rate, which statement is true?

• Town 1 had a greater population than town 2 in 2006 and is growing at a faster rate than town 2.

• Town 2 had a greater population than town 1 in 2006 and is growing at a faster rate than town 1.

• Town 1 had a greater population than town 2 in 2006, but is growing at a slower rate than town 2.

• Town 2 had a greater population than town 1 in 2006, but is growing at a slower rate than town 1.