Understanding Relations and Functions

Which of the following is a function?

• A function can have multiple outputs for the same input.

• A function is a relation where inputs can be ignored.

• A function is defined only by its output values.

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

A relation is a function if:

• Each output can correspond to multiple inputs.

• Every input is associated with exactly one output.

• Every input can have multiple outputs.

• Some inputs may not have any outputs.

What is the value of f(3) if f(x) = 2x + 1?

• 7

• 5

• 10

• 9

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

• Only positive numbers

• All integers

• All real numbers

• All rational numbers

What is the range of the function f(x) = 3x - 5?

• Only negative numbers

• Integers between -5 and 5

• All real numbers

• Only positive numbers

Which graph represents a function?

• The graph that intersects the x-axis at multiple points.

• The graph that has a loop or curve that crosses itself.

• The graph that does not have any straight lines.

• The graph that passes the vertical line test.

What is the slope of the line represented by the equation y = 2x + 3?

• 1

• 2

• 3

• -2

If f(x) = x + 2, what is f(0)?

• -2

• 2

• 2.5

• 0

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

• Only 2

• All integers except 2

• All real numbers except 2

• All real numbers

Which of the following sets of ordered pairs represents a function?

• The set of ordered pairs where both x and y values can repeat represents a function.

• The set of ordered pairs where all x-values are unique represents a function.

• The set of ordered pairs where all y-values are unique represents a function.

• The set of ordered pairs where x-values can repeat but y-values must be unique represents a function.