8.5G & 8.4B Functions and Unit Rate

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

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 pairs that represent y as a function of x: {(1, 2), (2, 3), (1, 4)}

Back

This set does not represent y as a function of x because the input 1 corresponds to two different outputs (2 and 4).

Front

Identify the ordered pairs that represent y as a function of x: {(3, 4), (4, 5), (5, 6)}

Back

This set represents y as a function of x because each input corresponds to exactly one output.

Front

Identify the ordered pairs that do NOT represent y as a function of x: {(2, 3), (2, 5), (3, 6)}

Back

This set does not represent y as a function of x because the input 2 corresponds to two different outputs (3 and 5).

Front

What is the vertical line test?

Back

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

Front

Which statement describes the mapping: 'The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.'?

Back

This statement is incorrect; it should state that each x-value corresponds to exactly one y-value.

Front

Which statement describes the mapping: 'The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.'?

Back

This statement is correct; it defines a function.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express it as a quantity per one unit of the second quantity.