Posted by anon on Wednesday, May 4, 2011 at 9:36pm.
domain = set of all possible values of x
range = set of all possible values of y
(1) y = sqrt(x-3)
note that the term inside the sqrt can be zero but cannot be negative, for it will become imaginary. thus,
Domain: x must be greater than or equal to 3.
also, y can be zero (if x=3) but can never be negative since sqrt of any positive real number is always positive, thus,
Range: y must be greater than or equal to 0.
(2) y = 3x + 5
this is an equation of a line, and note that there is neither restriction in both x and y, thus,
Domain: x can be all real numbers
Range: y can be all real numbers
(3) y = 2/(x-7)
note that denominators cannot be 0, thus,
Domain: x can be all real numbers except 7.
for the range, observe that y cannot be equal to zero, because, if so,
0 = 2/(x-7) , then cross-multiplying,
0 = 2 , which is wrong, thus
Range: y is all real numbers except 0
(4) y = 2 + sqrt(x)
note that this is almost similar to #1, except that there is +2. therefore,
Domain: x must be greater than or equal to zero.
for the range, the minimum possible value of x is zero, but because there is +2,
Range: y must be greater than or equal to 2.
hope this helps~ :D
maths - what is the largest domain of the following functions f(x)=3x-5 f(x)=...
math - questions involving domain and range... 1. Find the domain of the ...
Algebra - Ok I got another one I can figure out The one-to-one function f is ...
calculus - find the domain of the following function. State your answer in ...
Domain- Interval Notation - Domain of g(x) g(x)= sqrt(3-(sqrt(25-x^2)) I got -5...
Math - hi, I am trying to find the domain and range, of this equation, in ...
Math - How do i find the domain and range of these functions? f(x)=x+1 f(x)=2/x ...
Solve Inequality - Solve the inequality. Express your solution using interval ...
Calculus - I'm doing graphs/domain/range of basic functions. I have three ...
algebra II - which of the following relationships is a function a.Domain Range B...
For Further Reading