Relations and Functions

Identify the domain of the relation: {(-6,14), (0,32), (2,38), (4,44)}

• {-6, 0, 2, 4}

• {0, 2, 4, 14}

• {-6, 2, 4, 14}

• {0, 14, 32, 38}

What is an example of a function?

• f(x) = 2x + 3, where each x-value corresponds to one y-value.

• f(x) = x^2 + 1, which has multiple y-values for a single x-value.

• f(x) = 3, which is a constant function with no variable.

• f(x) = x + y, which is not a function because it has two variables.

What is the difference between a relation and a function?

• A relation can have multiple outputs for a single input, while a function has exactly one output for each input.

• A relation is always a function, but a function is not always a relation.

• A function can have multiple inputs for a single output, while a relation cannot.

• A function is a type of relation that can have no outputs.

Tags

CCSS.8.F.A.1

What is the vertical line test?

• A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

• A technique used to find the slope of a line on a graph.

• A way to measure the area under a curve in calculus.

• A test to check if a graph is symmetrical about the y-axis.

What does it mean for a function to be one-to-one?

• A function is one-to-one if each output value (y) is associated with exactly one input value (x).

• A function is one-to-one if it has at least one output value for every input value.

• A function is one-to-one if it can be graphed as a straight line.

• A function is one-to-one if it is defined for all real numbers.

What is the significance of the ordered pairs in a relation?

• Ordered pairs indicate the relationship between the input (x) and output (y) values.

• Ordered pairs are used to represent the area of a geometric shape.

• Ordered pairs are only relevant in linear equations.

• Ordered pairs can be rearranged without changing their meaning.

What is the notation for the range of a function?

• R(f) or the set of y-values

• R(f) only

• The set of x-values

• f(x) values

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Identify the range of the relation: {(-6,14), (0,32), (2,38), (4,44)}

• {14, 32, 38, 44}

• {14, 32, 38, 40}

• {10, 20, 30, 40}

• {14, 30, 38, 44}

What is the range of a function?

• The set of all possible input values (x) that the function can accept.

• The set of all possible output values (y) that the function can produce.

• The difference between the maximum and minimum values of the function.

• The slope of the function at a given point.

How can you determine if a relation is a function?

• A relation is a function if no two ordered pairs have the same first element (x-value).

• A relation is a function if all ordered pairs have different second elements (y-values).

• A relation is a function if it contains at least one ordered pair.

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