Recognizing Patterns — Unit test Answers

The table represents a linear function.

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.

What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)?

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).

Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)?

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

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?

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

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

Consider the function represented by the graph.

The table represents a linear equation.

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 coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).

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?