Home > Algebra > Domain and Range of a Function

How do you find the range of f(x) = -x + 4 for the domain {-3,-2,-1,1}?

Answer 1

Hazel Anglin

#y in{7,6,5,3}#

#"To find the range substitute the given values of "x# #"from the domain into "f(x)#

#f(-3)=-(-3)+4=3+4=7#

#f(-2)=-(-2)+4=2+4=6#

#f(-1)=-(-1)+4=1+4=5#

#f(1)=-1+4=3#

#"range is "y in{7,6,5,3}#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Hazel Anglin

To find the range of ( f(x) = -x + 4 ) for the domain { -3, -2, -1, 1 }, you evaluate the function for each value in the domain and then determine the set of all possible output values.

For ( x = -3 ), ( f(-3) = -(-3) + 4 = 3 + 4 = 7 ).
For ( x = -2 ), ( f(-2) = -(-2) + 4 = 2 + 4 = 6 ).
For ( x = -1 ), ( f(-1) = -(-1) + 4 = 1 + 4 = 5 ).
For ( x = 1 ), ( f(1) = -(1) + 4 = 3 ).

Therefore, the range of ( f(x) ) for the given domain is { 5, 6, 7 }.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.