Square root functions

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

What is the domain of the square root function f(x) = √x?

Back

[0, ∞) - The domain includes all non-negative real numbers.

Front

What is the range of the square root function f(x) = √x?

Back

[0, ∞) - The range includes all non-negative real numbers.

Front

How do you find the domain of a square root function?

Back

Set the expression inside the square root greater than or equal to zero and solve for x.

Front

What transformation occurs when the function f(x) = √x is reflected over the x-axis?

Back

The function becomes f(x) = -√x, which flips the graph upside down.

Front

What is the effect of shifting the square root function f(x) = √x to the right by 3 units?

Back

The new function is f(x) = √(x - 3), which moves the graph to the right.

Front

What is the effect of shifting the square root function f(x) = √x up by 2 units?

Back

The new function is f(x) = √x + 2, which moves the graph up.

Front

What is the domain of the function f(x) = √(x - 1)?

Back

[1, ∞) - The domain starts at 1 because the expression inside the square root must be non-negative.

Front

What is the range of the function f(x) = √(x - 1)?

Back

[0, ∞) - The range includes all non-negative real numbers.

Front

How does the graph of f(x) = -√x differ from f(x) = √x?

Back

f(x) = -√x is a reflection of f(x) = √x over the x-axis.