TEKS 8.5G

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you determine if a set of ordered pairs represents y as a function of x?

Back

A set of ordered pairs represents y as a function of x if no two pairs have the same x-value with different y-values.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

Identify the ordered pair that does not represent y as a function of x: {(2, 5), (3, 1), (2, 1), (4, 7)}

Back

The pair (2, 1) does not represent y as a function of x because the x-value 2 is associated with two different y-values (5 and 1).

Front

Which of the following sets represents y as a function of x: {(0, 0), (-1, 2), (-1, -2), (-2, 4)}?

Back

No, it does not represent y as a function of x because the x-value -1 is associated with two different y-values (2 and -2).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If a vertical line intersects the graph at more than one point, then it is not a function.

Front

Given the set of ordered pairs {(3, 2), (4, 3), (5, 2), (2, 6)}, does y represent a function of x?

Back

Yes, this set represents y as a function of x because each x-value is unique.

Front

What is an example of a set of ordered pairs that does not represent y as a function of x?

Back

An example is {(1, 3), (1, 4), (2, 5)}, where the x-value 1 is associated with two different y-values (3 and 4).

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of elements (x, y) where the first element is the x-coordinate and the second element is the y-coordinate.

Front

How can you represent a function using a graph?

Back

A function can be represented using a graph by plotting the ordered pairs on a coordinate plane and ensuring that each x-value corresponds to only one y-value.