Representing Relationships Review

Which could be the entire interval over which the function, f(x), is negative?

• (-8,-2)

• (-8,0)

• (- $\infty$ ,-6)

• (- $\infty$ ,-4)

Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off the back of the bleachers.

To the nearest tenth of a second, how much time would it take the penny to hit the ground?

• 0.5 seconds

• 0.6 seconds

• 0.7 seconds

• 0.8 seconds

A ball is thrown straight up into the air. The height, in feet, h(t), of the ball collected over t seconds is shown in the table.

Which statement is true?

• The initial height of the ball is 96 feet.

• The ball will hit the ground between 2 and 3 seconds after it was thrown.

• The maximum height of the ball must be 96 feet.

• The maximum height of the ball was 2.5 seconds after it was thrown.

According to the table, which ordered pair is a local minimum of the function, f(x)?

• (0, 9)

• (4, 105)

• (–1, 0)

• (2, –15)

Which intervals show f(x) increasing? Choose two options.

• [–2.5, –1.6)

• [–2, –1]

• (–1.6, 0]

• [0, 0.8)

• (0.8, 2)

Analyze the graph of the function f(x) to complete the statement. 

f(x)<0 over  and what other interval? $\left(-\infty,-3\right)$  

• (-1.1,0.9)

• (-1.1,2)

• (-3,-1.1)

• (-2.4, -1.1)

Which interval contains a local minimum for the graphed function?

• [-4,-2.5]

• [2.5,4]

• [-2,-1]

• [1,2]

Which interval for the graphed function contains the local minimum?

• [-1,1]

• [1,2]

• [-3,-1]

• [-5,-3]

The function f(x) is shown on the graph.

If f(x) = 0, what is x?

• 0 only

• –6 only

• –2, 1, or 3 only

• –6, –2, 1, or 3 only

The function f(x) is shown on the graph.

What is f(0)?

• 0 only

• –6 only

• –2, 1, 1, and 3 only

• –6, –2, 1, 1, and 3 only