Slope Intervals

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph. Between what times is the slope of the graph positive?

• The slope of the graph is positive between x = 0 and x = 3 and also between x = 5 and x = 7

• The slope is positive between x = 3 and x = 5

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph. What does it mean to have a positive slope in this context?

• Oliver is hiking up the mountain

• Oliver is hiking down the mountain

• Oliver is taking a break from hiking

Oliver is hiking a trail that takes him straight up a mountain. He starts his hike at 8 am at the base of the mountain. The distance, d, in miles, that Oliver is from the base of the mountain t hours after starting his hike is shown in the graph.

What does it mean to have a 0 slope in this context? (between x = 3 and x = 5 the slope is 0)

• Oliver is hiking up the mountain

• Oliver is hiking down the mountain

• Oliver is taking a break from hiking

Identify where the function is decreasing.

• x < 0

• x > 0

• x < -3 , x > 3

• -3 < x < 3

What is true about the graph? Choose all of the correct answers.

• Slope is 10/3

• Slope is 3/10

• The cost is $6 for 20 gallons of gas

• The cost is $20 for 6 gallons of gas

When is this function increasing?

• −2.5 < x < 2.5

• 0 < x < 5

• 0 < x < 55

• −5 < x < 0

Is the following an increasing, decreasing or constant function?

• increasing

• decreasing

• constant

What do we know about the slope for increasing functions?

• The slope is positive

• The slope is negative

• There is zero slope

What is the interval of increase and decrease in the following function.

• Decreasing at (5, 0) and (0, 2)

• Decreasing at (-5, -2) and (0, 2)

• Increasing at (2, 6)

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant

• increasing, decreasing, constant

• increasing, constant, increasing, constant

• increasing, constant, decreasing, constant