An integral can be defined for all values (that is, for all ). An example of this type of function is the polynomial - which we will study in the coming years.
However, there are integrals that are not defined for all values (all ), since if we place certain or a certain range of values of we will receive an expression considered "invalid" in mathematics. The values of for which integration is undefined cause the discontinuity of a function.
Given the following function:
\( \frac{5}{x} \)
Does the function have a domain? If so, what is it?
Does the given function have a domain? If so, what is it?
\( \frac{9x}{4} \)
Given the following function:
\( \frac{5+4x}{2+x^2} \)
Does the function have a domain? If so, what is it?
Given the following function:
\( \frac{65}{(2x-2)^2} \)
Does the function have a domain? If so, what is it?
\( \frac{6}{x+5}=1 \)
What is the field of application of the equation?
Given the following function:
Does the function have a domain? If so, what is it?
Since the unknown is in the denominator, we should remember that the denominator cannot be equal to 0.
In other words,
The domain of the function is all those values that, when substituted into the function, will make the function legal and defined.
The domain in this case will be all real numbers that are not equal to 0.
Yes,
Does the given function have a domain? If so, what is it?
Since the function's denominator equals 4, the domain of the function is all real numbers. This means that any one of the x values could be compatible.
No, the entire domain
Given the following function:
Does the function have a domain? If so, what is it?
Since the denominator is positive for all X, the domain of the function is the entire domain.
That is, all X, therefore there is no domain restriction.
No, the entire domain
Given the following function:
Does the function have a domain? If so, what is it?
The denominator of the function cannot be equal to 0.
Therefore, we will set the denominator equal to 0 and solve for the domain:
In other words, the domain of the function is all numbers except 1.
Yes,
What is the field of application of the equation?
\( \frac{x+y:3}{2x+6}=4 \)
What is the field of application of the equation?
\( \frac{3x:4}{y+6}=6 \)
What is the field of application of the equation?
\( 22(\frac{2}{x}-1)=30 \)
What is the domain of the equation above?
\( 2x+\frac{6}{x}=18 \)
What is the domain of the above equation?
\( 2x-3=\frac{4}{x} \)
What is the domain of the exercise?
What is the field of application of the equation?
What is the field of application of the equation?
What is the domain of the equation above?
x≠0
What is the domain of the above equation?
x≠0
What is the domain of the exercise?
x≠0
What is the domain of the exercise?
\( \frac{5x+8}{2x-6}=30 \)
Look at the following function:
\( \frac{20}{10x-5} \)
What is the domain of the function?
Look at the following function:
\( \frac{2x+2}{3x-1} \)
What is the domain of the function?
Consider the following function:
\( \frac{3x+4}{2x-1} \)
What is the domain of the function?
Look at the following function:
\( \frac{10x-3}{5x-3} \)
What is the domain of the function?
What is the domain of the exercise?
x≠3
Look at the following function:
What is the domain of the function?
Look at the following function:
What is the domain of the function?
Consider the following function:
What is the domain of the function?
Look at the following function:
What is the domain of the function?