Domain and Range

Domain and Range

9th - 10th Grade

15 Qs

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Domain and Range

Domain and Range

Assessment

Quiz

Mathematics

9th - 10th Grade

Practice Problem

Hard

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the definition of 'Domain' in mathematics?

The range of values that a function can output.

The complete set of possible values of the independent variable (usually x) for which the function is defined.

The maximum value that a function can reach.

The minimum value that a function can reach.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the domain of the function @@f(x) = x^2 - 4@@?

All real numbers, written as @@(- ext{∞}, ext{∞})@@

Only positive real numbers, written as @@[0, ext{∞})@@

Only negative real numbers, written as @@(- ext{∞}, 0)@@

All integers, written as @@ ext{Z}@@

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the definition of 'Range' in mathematics?

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

The range of a function is the difference between the highest and lowest values of the independent variable.

The range of a function is the set of all possible input values (usually x) that can be used in the function.

The range of a function is the average of all the output values of the function.

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the range of the function @@f(x) = ext{sin}(x)@@?

All real numbers

[-1, 1]

[0, 1]

(-1, 1)

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How do you determine the domain of a function?

Identify all the values of x that can be input into the function without causing any mathematical errors (like division by zero or taking the square root of a negative number).

Choose any value of x, as all values are valid for the domain.

The domain is always all real numbers unless specified otherwise.

The domain is determined by the range of the function.

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the domain of the function @@f(x) = ext{tan}(x)@@?

All real numbers

All real numbers except for @@x = rac{ ext{π}}{2} + n ext{π}@@, where n is any integer

Only integers

All real numbers except for @@x = n ext{π}@@, where n is any integer

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the domain of the function @@f(x) = ext{sqrt}(x - 1)@@?

All real numbers

All real numbers greater than 0

All real numbers greater than or equal to 1

All real numbers less than or equal to 1

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