Applying and analysing functions

A recent newspaper gave temperature data for various days of the week in table format. In which of the tables below is the reported temperature a one-to-one function of the day of the week?

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Is the inverse of the graph a function?

• Yes

• No

What is the best way to describe the relation?

• One-to-one function

• Function

• Relation

Is the inverse of thisgraph a function or not a function?

• Yes, it passes the vertical line test

• Yes, it passes the horizontal line test

• No, it does not pass the vertical line test

• No, it does not pass the horizontal line test

Answer explanation

It passes the "vertical line test", which means every input has exactly one output.

The relation in the graph is..

• a function but not a one-to-one function.

• a one-to-one function.

• not a function

Physics students drop a basketball from 5 feet above the ground and its height is measured each tenth of a

second until it stops bouncing. The height of the basketball, h, is clearly a function of the time, t, since it

was dropped.

Is the height of the ball one to one?

• YES

• NO

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

• Function

• Not a Function

• Inverse Function

• Inverse Relation

The relation in the graph is..

• a function but not a one-to-one function.

• a one-to-one function.

• not a function

Tags

One-to-One Functions

What's the best description?

• They are both functions, but not inverse functions.

• They are reflections over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions because they both are functions and they are reflections of each other over y = x.

Use the horizontal line test to determine which function is invertible.

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