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

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

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Answer 1 · 2018-03-26T05:40:42

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

Explanation:

Example: $\sqrt{x}$ $sqrtx$ you would know that x can't be negative as you can't have a negative root so domain would be $[0, \infty)$ $[0,oo)$

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

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

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

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