Functions/Not Functions/Linear

What is an example of a relation that is not a function?

• The relation {(1, 2), (1, 3)}.

• The relation {(2, 3), (3, 4)}.

• The relation {(1, 2), (2, 3)}.

• The relation {(3, 4), (4, 5)}.

What is the standard form of a linear equation?

• Ax + By = C, where A, B, and C are constants.

• y = mx + b, where m is the slope and b is the y-intercept.

• x^2 + y^2 = r^2, which represents a circle.

• y = A sin(Bx + C), which represents a sinusoidal function.

What are all of the x values in a function called?

• Outputs

• Constants

• Inputs

• Parameters

What is the slope-intercept form of a linear equation?

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax^2 + bx + c, where a, b, and c are constants.

• y = m(x - b) + c, where m is the slope and c is a constant.

• y = b/x + m, where b is a constant and m is the slope.

What is the definition of a function?

• A relation where each input has exactly one output.

• A set of ordered pairs with no restrictions.

• A collection of inputs and outputs that can be random.

• A mathematical operation that combines two numbers.

What is the slope of the line represented by the equation y = -2x + 6?

• -1

• 0

• -2

• 2

What does it mean if a graph crosses the x-axis at two points?

• It is a function (passes the vertical line test).

• It is not a function (fails the vertical line test).

• It has two real roots.

• It is a linear function.

What does the vertical line test determine?

• Whether a graph represents a function or not.

• Whether a graph is linear or nonlinear.

• Whether a graph has symmetry or not.

• Whether a graph is continuous or discrete.

What is the domain of a function?

• The set of all possible output values (y-values).

• The set of all possible input values (x-values).

• The set of all possible function types.

• The set of all possible constants.

What is the definition of 'not a function'?

• A relation where at least one input has more than one output.

• A relation where each input has exactly one output.

• A relation that does not have any inputs.

• A relation that is always increasing.