Recognizing Patterns — Unit test Answers

A 2-column table with 10 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4, 5. The second column is labeled f of x with entries 105, 0, negative 15, 0, 9, 0, negative 15, 0, 105, 384.

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

On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negative 2, 2), (1, 3), (1, negative 2), (2, 1), (5, negative 4).

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

Which best describes the relationship between the successive terms in the sequence shown?9, –1, –11, –21, …

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

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 of the back of the bleachers.

On a coordinate plane, a curved line with minimum values of (negative 0.44, negative 4.3) and (3, negative 4), and a maximum value of (1.7, 0.7), crosses the x-axis at (negative 2.5, 0), (1.3, 0), (2, 0), and (3.44, 0), and crosses the y-axis at (0, negative 4).

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

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

A sequence is defined recursively by the formula f(n + 1) = –2f(n). The first term of the sequence is –1.5. What is the next term in the sequence?

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

On a coordinate plane, a curved line with a minimum value of (negative 2, negative 6) and maximum values of (negative 3.75, 3) and (0.25, 13), crosses the x-axis at (negative 4, 0), (negative 3, 0), (negative 1, 0), and (1, 0), and crosses the y-axis at (0, 12).

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).

A 2-column table with 9 rows. The first column is labeled x with entries negative 8, negative 6, negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries negative 16, negative 8, 0, 8, 16, 32, 64, 128.