Question

How do you determine the domain and range of a function when given a graph?

Answer 1

You have to look at the function and notice any special features and see values would not exist for the function.

Explanation:

Example: `sqrtx` you would know that x can't be negative as you can't have a negative root so domain would be `[0,oo)`

Example: `x^2+1` you would know that the parabola has been shifted upwards so y can't be any value below one Range: `[1,oo)`

Example: `1/x` you would know that the hyperbola can't have 0 in the denominator so values of x apart from 0 would be fine `(-oo,0)U(0,oo)`