Exploring Relations and Functions

What is the definition of a relation?

• A relation is a set of ordered pairs that defines a relationship between elements of two sets.

• A relation is a mathematical operation performed on numbers.

• A relation is a collection of unrelated items.

• A relation is a single pair of elements from two sets.

Tags

CCSS.8.F.A.1

How can you determine if a relation is a function?

• A relation is a function if it is represented by a straight line on a graph.

• A relation is a function if it contains at least one input-output pair.

• A relation is a function if it has multiple outputs for the same input.

• A relation is a function if each input has exactly one output.

Tags

CCSS.8.F.A.1

Graph the function f(x) = 2x + 3. What is its slope?

• 1

• -2

• 2

• 3

Tags

CCSS.8.EE.B.5

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

• All real numbers

• x = 2 only

• x < 2

• All real numbers except x = 2

What is the range of the function f(x) = x^2?

• (0, 1)

• [0, ∞)

• [1, 2]

• (-∞, 0)

Evaluate the composition of functions f(g(x)) if f(x) = x + 1 and g(x) = 2x.

• 2x - 1

• x + 2

• 4x + 1

• 2x + 1

Tags

CCSS.HSF-BF.A.1C

Find the inverse of the function f(x) = 3x - 5.

• f^(-1)(x) = (x + 5)/3

• f^(-1)(x) = (x - 5)/3

• f^(-1)(x) = 3(x - 5)

• f^(-1)(x) = 3x + 5

Tags

CCSS.HSF-BF.B.4A

How do you graph the relation defined by the equation y^2 = x?

• The graph is a rightward-opening parabola with vertex at (0,0).

• The graph is a circle centered at (0,0).

• The graph is a vertical line at x=0.

• The graph is a leftward-opening parabola with vertex at (0,0).

Tags

CCSS.HSF-IF.C.7A

Determine the domain of the function f(x) = sqrt(x - 4).

• [4, ∞)

• (4, 8)

• [0, 4)

• (-∞, 4)

What is the range of the function f(x) = -x^2 + 4?

• (4, ∞)

• [0, 4]

• (-∞, 0]

• (-∞, 4]