How do you convert a radical expression to exponential form?

To convert a radical expression to exponential form, use the rule $$\sqrt[n]{x} = x^{\frac{1}{n}}$$ .

What is the domain of the function $$y = \sqrt{x}$$ ?

The domain is $$[0, \infty)$$ because the square root is defined for non-negative numbers.

What is the range of the function $$y = \sqrt{x}$$ ?

The range is $$[0, \infty)$$ because the output of the square root function is always non-negative.

What does it mean for a function to be increasing?

A function is increasing if, as x increases, the value of f(x) also increases.

What is the effect of a negative sign in front of a radical function?

A negative sign reflects the graph of the function across the x-axis.

How do you find the x-intercept of a radical function?

To find the x-intercept, set $$y = 0$$ and solve for $$x$$ .

What is the significance of the index in a radical expression?

The index indicates the degree of the root; for example, a square root has an index of 2.

What is the relationship between the domain and range of radical functions?

For even-indexed radicals, the domain is restricted to non-negative values, while the range is also non-negative.

Practice - Rewriting Radicals and Graphing Radicals Flashcards

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What is the domain and range of a function that starts at -5 and goes to infinity, and has a maximum value of 4?

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4.

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What is the equation of the graph that shifts the cube root function to the left by 2 and up by 5?

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