Mid 2nd 9 Weeks Review

Which statement about finite differences and the type of function that could be used to model the data in the table is true?

• Since there is a first common difference of −16 and the function is quadratic, the function h(t) = −16t + 551 best models the data in the table.

• Since there is a second common difference of −32 and the function is quadratic, the function h(t) = −32t + 551 best models the data in the table.

• Since there is a second common difference of −32 and the function is quadratic, the function h(t) = −16t + 551 best models the data in the table.

• Since there is a first common difference of −32 and the function is linear, the function h(t) = −32t + 551 best models the data in the table.

x²+2x-4 -x²+3x+6 3x²+5x-3

Which statement about the attributes of the functions is true?

• Each function has a minimum value at its vertex.

• The domain and range are the same for each function.

• Each function has two x-intercepts.

• The y-intercept of each function is located at (0, −10).

small rocket is launched into the air with an initial velocity of 128 feet per second. The graph shows the height,

in feet, of the rocket over time, in seconds.

Based on the graph, which value is the closest estimate to the length of time the rocket is at least 128 feet above

the ground?

• 1 second

• 7 seconds

• 6 seconds

Danielle is building a box that has a rectangular base. She wants the length of the base to be 5 less than three

times the width. In order to determine the area of the base for different sized boxes, she uses the function f(x),

where x is the width in inches of the base.

Use the graph of f(x) to estimate the width of a box with a base area of 250 in².

• 8 in

• 10 in

• 12 in

• 250 in.

A football is kicked into the air. The relationship between x, the number of seconds since the ball was kicked, and

f(x), the height of the ball in feet, is represented by the function shown.

f(x) = −16x² + 40x + 4

What value(s) represents the approximate time the football was 20 feet above the ground?

• 3 seconds

• 1 second and 1.5 seconds

• 2.6 seconds

• 0.5 seconds and 2 seconds

Madison collected data regarding the number of cows on pastures of different sizes. Some of the data she

collected are shown in the table.

In this problem, is square miles the x or the y?

• x

• y

What are the domain and range of the part shown?

• Domain: All real numbers greater than or equal to −4 and less than or equal to 1

  Range: All real numbers greater than or equal to −6 and less than 3

• Domain: [−6, 3)

  Range: (−4, 1)

• Domain: {x| x }

  Range: {y| y , −6 ≤ y < 3}

• Domain: −4 < x < 1

  Range: −6 < y < 3

What is the domain for all quadratic equations?

• x∈ℝ

• (-∞, ∞)

• All Real Numbers

• All of these

What is the second finite difference of the equation 2x²+3x-9?

• 2

• 4

• 6

• 18

When given a table, restricted domain is

• the interval from the lowest x to the highest x

• All real numbers.