Question

Find the domain and range of the function f(x) = x^2 - 3x + 13/4

Answer 1

domain = {Z}
range = {5/4, 13/4, 29/4, 53/4...}

Answer 2

Answer:

The function is given to be :

f(x) = x² - 3x + 13/4

Domain : It is defined as a set of all points for which the function is real and defined.

Now, The given function f(x) is a polynomial function and is real and defined for all the real numbers. So, The domain of the given function f(x) is given by :

Domain : All real numbers

Range : It is defined as a set of all values of dependent variable for which the function is defined.

Now, To find range of the given function :

The minimum value of the function is at f(x) = 1

So, The range consists of all the values greater than or equal to 1

⇒ Range : All real numbers greater than or equal to 1

Thus, The domain is all real numbers, and the range is all real numbers greater than or equal to 1