Introduction to Functions Answers

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Choose two options.g is the dependent variable.u is the dependent variable.g is the independent variable.u is the independent variable.The two variables cannot be labeled as independent or dependent without a table of values.

Which table represents a function?

A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).

What is the range of the given function?{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

Which graph shows a set of ordered pairs that represents a function?

On a coordinate plane, solid circles appear at the following points: (negative 2, negative 5), (negative 1, 3), (1, negative 2), (3, 0), (4, negative 2), (4, 4).