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

Mar 26, 2018

Example: $\sqrt{x}$ you would know that x can't be negative as you can't have a negative root so domain would be $\left[0 , \infty\right)$
Example: ${x}^{2} + 1$ you would know that the parabola has been shifted upwards so y can't be any value below one Range: $\left[1 , \infty\right)$
Example: $\frac{1}{x}$ you would know that the hyperbola can't have 0 in the denominator so values of x apart from 0 would be fine $\left(- \infty , 0\right) U \left(0 , \infty\right)$