Attributes of Square Root Functions

Front

What is the parent function of square root functions?

Back

f(x) = \sqrt{x}

Front

Identify the range of the square root function f(x) = \sqrt{x}.

Back

[0, ∞)

Front

What type of function is represented by f(x) = \sqrt{x}?

Back

Square root function.

Front

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

Back

[0, ∞)

Front

How does the graph of the square root function f(x) = \sqrt{x} behave?

Back

It increases gradually from the origin (0,0) and approaches infinity.

Front

What is the range of the function f(x) = \sqrt{x} - 3?

Back

[-3, ∞)

Front

What transformation occurs in the function f(x) = \sqrt{x - 4}?

Back

The graph shifts 4 units to the right.

Front

What is the effect of the negative sign in f(x) = -\sqrt{x}?

Back

The graph reflects over the x-axis.

Front

Identify the range of the function f(x) = -\sqrt{x}.

Back

(-∞, 0]

Front

What is the domain of the function f(x) = \sqrt{x + 2}?

Back

[-2, ∞)