HSF.IF.B.5: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

Example Problems

f(x) = \frac{x + 1}{x - 4}

What is the domain of f(x)?

f(x) = \sqrt{-3x}

What is the domain of

f(x)

?

f(x) = \sqrt{-6x}

What is the domain of

f(x)

?

Khan Academy Resources

Domain and range from graph Function domain word problems Determine the domain of functions Modeling with linear equations: snow Domain of a radical function Examples finding the domain of functions Worked example: domain and range from graph Worked example: determining domain word problem (real numbers)Worked example: domain of algebraic functions Worked example: determining domain word problem (positive integers)Worked example: determining domain word problem (all integers)

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