What is the domain and range of the function x^4+y=42

Question

Write your answers in interval notation, separated by a semicolon.

Only need answer no explanation

Answer 1

The domain are the allowable values of x, i.e. the values of x that give you real-valued solutions for y.

 

for y = -x⁴ +42 every real value of x will work so domain is (-∞,+∞).

 

That being said what can you tell me about any possible restrictions on values of y (which of course you get by substituting all possible values of x)?

 

 

Answer 2

If you have a graphing calculator 

 

plug in

 

y = -x^4 + 42

 

once you generate the graph the domain would be the set of X values and the range would be your y values.