Functions and Their Properties Quiz

What is the domain of the relation {(A, 5), (B, 7), (C, 8), (D, 1), (F, 1)}?

• {5, 7, 8, 1}

• {A, B, C, D, F}

• {A, B, C, D}

• {5, 7, 8}

Which of the following correctly identifies the domain and range of the relation {(A, 5), (B, 7), (C, 8), (D, 1), (F, 1)}?

• Domain: {A, B, C, D, F}, Range: {5, 7, 8, 1}

• Domain: {5, 7, 8, 1}, Range: {A, B, C, D, F}

• Domain: {A, B, C, D}, Range: {5, 7, 8}

• Domain: {5, 7, 8}, Range: {A, B, C, D, F}

Which of the following relations is a function?

• {(1, 6), (2, 6), (3, 8), (4, 9)}

• {(6, 1), (6, 2), (8, 3), (9, 4)}

• {(1, 2), (2, 3), (3, 4), (4, 5)}

• {(1, 1), (2, 2), (3, 3), (4, 4)}

What does the domain of a function represent?

• The set of outputs found on the Y-axis

• The set of inputs found on the X-axis

• The range of the function

• The graph of the function

Which of the following graphs represents a function based on the vertical line test?

• A graph where a vertical line intersects the curve at multiple points

• A graph where a vertical line intersects the curve at only one point

• A graph where a vertical line intersects the curve at no points

• A graph where a vertical line intersects the curve at infinite points

What is the key characteristic of a graph that passes the vertical line test?

• It has no vertical lines

• Each vertical line intersects the graph at most once

• Each vertical line intersects the graph multiple times

• It has no horizontal lines

Which of the following functions is not one-to-one?

• f(x) = 2 + ∛(√(2x) + 1)

• None of the above

• The function produces the same output for different inputs.

• The function is undefined for certain values of x.

• The function is linear and has a constant slope.

• The function is one-to-one for all values of x.

• 16

• 24

• -24

• 8

• 46

• 36

• 28

• 16