how do i identify the domain, range, zeroes, and intercepts of the written algebraic function f(x)=-x+4

Question

how do I find the  domain, range, zerors and intercepts of a function written algebraically

example:

 

f(x)=-4/3+2

 

Answer 1

The domain is the set of x values in which the function f(x) is defined.

The range is the set of y values in which the function f(x) is defined.

Zeros are values of x that make f(x) equal to zero.  This is also known as an x-intercept.

The y-intercept is the value of f(x) when x is zero.  Or we can say f(0).

 

 

f(x) is a linear function.  Linear functions have no restrictions, so the domain and range is all real numbers.

 

 

Using the following information I have provided for you, can you find the following?