Understanding Functions and Their Properties

Understanding Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the concept of functions, emphasizing that a function is a relation where each input has a single output. It introduces the vertical line test as a method to determine if a graph represents a function. The tutorial uses examples like graphing a parabola and real-world data, such as minimum wage, to illustrate functions. It also discusses scenarios where a relation is not a function, using social security numbers and phone numbers as examples.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the defining characteristic of a function?

Each input has exactly one output.

Each output has multiple inputs.

Each output has exactly one input.

Each input has multiple outputs.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the vertical line test determine?

If a graph has a horizontal line.

If a graph represents a function.

If a graph is a straight line.

If a graph is symmetrical.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens if a vertical line crosses a graph at more than one point?

The graph is a function.

The graph is symmetrical.

The graph is a straight line.

The graph is not a function.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation Y = x^2 + 1, what is the output when x = 0?

0

1

2

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of Y = x^2 + 1, what shape does the graph form?

A circle

A straight line

A parabola

A triangle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the vertical line test for the graph of Y = x^2 + 1?

It fails the test.

It passes the test.

It is inconclusive.

It is not applicable.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key feature of a function in terms of coordinates?

The second coordinate never repeats.

The first coordinate never repeats.

The second coordinate can repeat.

The first coordinate can repeat.

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