Function Notation and Evaluating Functions

What is the definition of function notation?

• Function notation is a way to represent a mathematical equation.

• Function notation is a technique used to graph functions.

• Function notation is a way to represent a function using symbols and variables.

• Function notation is a method used to solve algebraic problems.

Evaluate the function f(x) = 2x + 3 at x = 4.

• 11

• 7

• 14

• 9

Find the domain of the function g(x) = √(x - 5).

• x ≥ 5

• x ≤ 5

• x > 5

• x < 5

Find the range of the function h(x) = x^2 - 4x + 3.

• (-∞, 2]

• (-∞, 0]

• (-∞, 1]

• (-∞, -1]

Identify the independent variable in the function y = 3x + 2.

• y

• 3

• 2

• x

Identify the dependent variable in the function y = 5 - 2x.

• x

• 5

• y

• -2x

Evaluate the function f(x) = 4x^2 - 5x + 2 at x = -2.

• 14

• 34

• -10

• 22

Find the domain of the function g(x) = 1/x.

• All integers

• All negative real numbers

• All real numbers except 0

• All positive real numbers

Find the range of the function h(x) = √(x + 2).

• All real numbers greater than or equal to 0

• All real numbers less than 0.

• All real numbers between -2 and 0.

• All real numbers greater than 2.

Identify the independent variable in the function y = 2x^2 + 3x - 1.

• y

• 2

• 2x^2 + 3x - 1

• x