Home > Algebra > Domain and Range of a Function

How do you find the domain and range for #y=-2/3x - 5#?

Answer 1

Domain and Range are both all Real numbers

#y=-2/3x-5# is the equation of a straight line (with a defined but non-zero slope)

As such this equation is defined for all Real values of #x# (the Domain) and can be mapped into all Real values for #y# (the Range).

graph{y=-2/3x-5 [-14.63, 5.37, -7.88, 2.12]}

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

Answer 2

Genesis Allen

To find the domain and range of the function ( y = -\frac{2}{3}x - 5 ):

The domain is all real numbers because there are no restrictions on the values of ( x ).
The range is also all real numbers because the function is a linear function with a slope of ( -\frac{2}{3} ), which means it covers all possible ( y ) values as ( x ) varies over all real numbers.

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.