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Understanding Functions in Algebra

Total questions: 1

Worksheet time: 17mins

Name
Class
Date

1-10.

Answer the questions below after watching the video

1.

What is a function in mathematics?

a)

A collection of numbers or objects.

b)

A rule that relates one set to another in a specific way.

c)

A mathematical equation without variables.

d)

A visual representation of data.

2.

What is the domain of a function?

a)

The set of output values.

b)

The mathematical rule of the function.

c)

The set of input values.

d)

The graphical representation of the function.

3.

What does the range of a function represent?

a)

The possible values of 'x'.

b)

The mathematical rule used in the function.

c)

The possible values of 'y'.

d)

The graphical representation of the function.

4.

What does the function y = 2x imply about the relationship between 'y' and 'x'?

a)

For each input 'x', 'y' remains constant.

b)

For each input 'x', 'y' is twice as big.

c)

There is no relationship between 'y' and 'x'.

d)

For each input 'x', 'y' is half of 'x'.

5.

Why is 'y squared equals x' not considered a function?

a)

Because it does not involve any numbers.

b)

Because it only works with square numbers.

c)

Because it does not have a domain or range.

d)

Because it can produce more than one output for a single input.

6.

What is the Vertical Line Test used for?

a)

To find the domain of a function.

b)

To determine if a graph represents a function.

c)

To identify the range of a function.

d)

To calculate the slope of a function.

7.

Which of the following is an example of a linear function?

a)

y = 2^x

b)

y = x + 1

c)

y = x^2

d)

y = 1/x

8.

What does it mean if a function passes the Vertical Line Test?

a)

It has a one-to-many relation.

b)

It does not have a domain.

c)

It is not a function.

d)

It is a function.

9.

How is function notation commonly written?

a)

f(y) = x

b)

f(x) = y

c)

y = f(x)

d)

x = f(y)

10.

What is the result of evaluating f(4) if f(x) = 3x + 2?

a)

14

b)

16

c)

10

d)

12