Radical Unit Review

Front

What is the opposite of a cube root (\( ^3\sqrt{ } \))?

Back

Cubing

Front

Which equation results in No Solution? \( \sqrt{ }{x-2}=-10 \)

Back

\( \sqrt{ }{x-2}=-10 \) has no solution because a square root cannot equal a negative number.

Front

To graph the function \( g(x)=\sqrt{x+5}-3 \), what should be the FIRST point we plot?

Back

The first point to plot is (-5, -3).

Front

Which function matches the graph? \( f(x)=-\sqrt{x+1}+3 \)

Back

The function that matches the graph is \( f(x)=-\sqrt{x+1}+3 \).

Front

What is the definition of a radical?

Back

A radical is an expression that includes a root, such as a square root or cube root.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3.

Front

How do you simplify \( \sqrt{a^2} \)?

Back

\( \sqrt{a^2} = |a| \) (the absolute value of a).

Front

What is the domain of the function \( f(x)=\sqrt{x-1} \)?

Back

The domain is \( x \geq 1 \).

Front

What is the range of the function \( g(x)=\sqrt{x} \)?

Back

The range is \( y \geq 0 \).