Interpreting a Function as a Graph

Find the y-intercept(s) of the graph shown.

• (-3.3, 0)

• (5.6, 0)

• (-5, 0)

• (0, 4)

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

What is the range of the graph?

• -2 < y < 10

• -3 < x < 3

• -2 ≤ y ≤ 10

• -3≤ x ≤ 3

What is the domain of the graph?

• -3 ≤ x ≤ 3

• 3 ≤ x ≤ -3

• -2 ≤ x ≤ 10

• -3 ≤ x ≤ 10

What is the minimum of the blue function?

• y = -2

• y = 1

• y = -4

• y = 0

What is the minimum of the red function?

• y = -1.75

• y = 1

• y = 1.5

• y = 0

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

• ∞

• (0, 4)

• 3

• (4, 0)

Which coordinate point describes the location of the absolute minimum point of this function?

• (-2, -1)

• (0, -1)

• (-1, -2)

• (-5, 3)

A ball bounces several times after it is dropped. The graph shows the height of the ball over time. Height is measured in meters and time is measured in seconds. Select all statements that are true about the graph and the situation it represents.

• The vertical intercept shows the time when the ball hits the ground.

• The vertical intercept shows when the ball is dropped.

• The function has the maximum value at the vertical intercept.

• The horizontal intercepts of the graph show the times when the ball hit the ground.

• The function has no minimum value.

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(0) = 170

• d(30) = d(70)

• d(t) = 10 when t is 20

• d(170) = 0

• d(0) = 0