Functions and Relations in Mathematics

What is a relation in mathematics?

• A set of ordered pairs

• A set of x-coordinates

• A set of y-coordinates

• A type of function

For the relation {(2,6), (3,2), (4,5), (-7,1)}, what is the domain?

• {2, 3, 4, -7}

• {6, 2, 5, 1}

• {2, 3, 4}

• {-7, 1}

For the relation {(2,6), (3,2), (4,5), (-7,1)}, what is the range?

• {2, 3, 4, -7}

• {6, 2, 5, 1}

• {2, 5, 1}

• {6, 2, 5}

Is the relation {(2,6), (3,2), (4,5), (-7,1)} a function?

• Yes, because no x-coordinates duplicate.

• No, because x-coordinates duplicate.

• Yes, because y-coordinates do not duplicate.

• No, because y-coordinates duplicate.

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What is the domain of the relation {(2,6), (3,2), (4,5), (-7,1)}?

• {6, 2, 5, 1}

• {2, 3, 4, -7}

• {2, 3, 4, -7, 6, 2, 5, 1}

• {2, 6}

Is the relation {(2,6), (3,2), (4,5), (-7,1)} a function?

• No, because the y-coordinates are not unique.

• Yes, because each x-coordinate maps to exactly one y-coordinate.

• No, because the x-coordinates are not in ascending order.

• Yes, because there are four ordered pairs.

In function notation like f(x), g(x), or h(x), what do the letters f, g, and h represent?

• Variables that can be changed.

• The name of the function.

• The output of the function.

• The input of the function.

Given the function f(x) = 2x - 5, what is the value of f(-3)?

• 1

• -11

• -1

• 11