Understanding Mathematical Functions

Define a mathematical function in your own words.

• A mathematical function is a graph that shows trends.

• A mathematical function is a set of equations without any inputs.

• A mathematical function is a random collection of numbers.

• A mathematical function is a rule that relates each input to a single output.

What is the domain of the function f(x) = 1/(x-2)?

• All real numbers

• All real numbers except 2

• Only positive numbers

• All real numbers except 0

Identify the range of the function f(x) = x^2.

• [0, ∞)

• (-∞, 0)

• [1, 2]

• (0, 1)

What type of function is f(x) = 3x + 5?

• Quadratic function

• Linear function

• Exponential function

• Polynomial function

Determine the domain of the function f(x) = sqrt(x-1).

• (-∞, 1)

• [1, ∞)

• (1, 2)

• [0, 1)

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

• [-1, 1]

• [0, 2]

• [-2, 2]

• [-1, 0]

Classify the function f(x) = x^3 - 4x as linear, quadratic, or cubic.

• exponential

• linear

• cubic

• quadratic

What is the domain of the function f(x) = log(x)?

• (0, ∞)

• (0, 1)

• [0, ∞)

• (-∞, 0)

Identify the range of the function f(x) = e^x.

• [0, ∞)

• (-∞, 0)

• (0, ∞)

• (-1, 1)

What type of function is f(x) = |x|?

• Piecewise linear function

• Quadratic function

• Constant function

• Exponential function