Common Core Algebra I A-CR

Using only the values given in the table for the function f(x) = -x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?

(-1, 1)

Analyze the table of values for the continuous function, f(x), to complete the statements. local maximum occurs over the interval . ------- A local minimum occurs over the interval -------

(-2,0) (0,2)

What is the x-intercept of the continuous function shown in the table? (0, -8) (0, 2) (-8, 0) (2, 0)

(2,0)

The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward. Which statements are true? Check all that apply. The ball is at the same height as the building between 8 and 10 seconds after it is thrown. The height of the ball decreases and then increases. The ball reaches its maximum height about 4 seconds after it is thrown The ball hits the ground between 8 and 10 seconds after it is thrown. The height of the building is 81.6 meters.

1) The ball is at the same height as the building between 8 and 10 seconds after it is thrown. 3) The ball reaches its maximum height about 4 seconds after it is thrown

The table represents the height of a rock that is dropped, h(t), in meters, after t seconds. When does the rock hit the ground? The rock hits the ground between seconds and seconds after it is dropped

2 2.5

If the table of the function contains exactly two potential turning points, one with an input value of -1, which statement best describes all possible values of m?

b

Which table most likely relates the height, h(t), in meters, over time, t, in seconds, of a ball dropped from above ground level that hits the ground sometime between 4 and 6 seconds after it is dropped?

b) A 2-column table with 4 rows. The first column is labeled t with entries 0, 2, 4, 6. The second column is labeled h(t) with entries 70, 50.4, negative 8.4, negative 106.4.

Based on the table, which statement best describes a prediction for the end behavior of the graph of f(x)? As x → ∞, f(x) → -∞, and as x → -∞, f(x) → ∞ As x → ∞, f(x) → ∞, and as x → -∞, f(x) → ∞ As x → ∞, f(x) → ∞, and as x → -∞, f(x) → -∞ As x → ∞, f(x) → -∞, and as x → -∞, f(x) → -∞

b) As x → ∞, f(x) → ∞, and as x → -∞, f(x) → ∞

Predict which statements are true about the intervals of the continuous function. Check all that apply f(x) > 0 over the interval (−, 3). f(x) ≤ 0 over the interval [0, 2]. f(x) < 0 over the interval (−1, 1). f(x) > 0 over the interval (-2, 0). f(x) ≥ 0 over the interval [2, ).

b,d,e

Which table shows a function that is decreasing only over the interval (-1, 1)?

table number one