Exploring Relations and Their Representations

What is the domain of the relation defined by the set of ordered pairs {(1,2), (3,4), (5,6)}?

• {5, 6, 7}

• {2, 4, 6}

• {1, 3, 5}

• {1, 3, 4}

Determine the range of the relation given by the equation y = 2x + 3.

• Only positive numbers

• All real numbers

• Only negative numbers

• Integers between 1 and 10

Graph the relation defined by the equation y = x^2 - 4. What is the vertex of the parabola?

• (0, -4)

• (2, 0)

• (-2, 0)

• (0, 0)

Write the equation of the line that passes through the points (2,3) and (4,7).

• y = x + 1

• y = -2x + 9

• y = 3x - 3

• y = 2x - 1

Identify the domain of the function f(x) = 1/(x-2).

• All real numbers except x = 2

• x < 2

• All real numbers

• x = 2 only

What is the range of the function g(x) = -x^2 + 5?

• (5, ∞)

• (-∞, 5]

• (-∞, 0]

• [0, 5]

Graph the inequality y < 2x + 1. Shade the appropriate region.

• Shade the region to the right of the dashed line y = 2x + 1.

• Shade the region below the solid line y = 2x + 1.

• Shade the region above the dashed line y = 2x + 1.

• Shade the region below the dashed line y = 2x + 1.

Given the relation defined by the ordered pairs {(0,0), (1,1), (2,4), (3,9)}, what is the equation that represents this relation?

• y = 2x

• y = x + 1

• y = x^3

• y = x^2

Solve the inequality 3x - 5 > 4. What is the solution set?

• x < 3

• x ≤ 4

• x > 3

• x = 3

Interpret the graph of the function h(x) = |x - 3|. What does the vertex represent?

• The vertex represents the maximum value of the function, which occurs at (3, 0).

• The vertex represents the minimum value of the function, which occurs at (3, 0).

• The vertex indicates the point of discontinuity in the function.

• The vertex represents the average value of the function over its domain.