Radical Function Exit Ticket 2

Front

What is the range of the graph of a radical function?

Back

For a radical function, the range is typically y ≤ 0 if the function is of the form y = √(x) or similar.

Front

What does a vertical compression by a factor of 1/2 mean for the graph of a function?

Back

It means that the y-values of the function are halved, making the graph flatter.

Front

How does a horizontal shift to the left affect the graph of a function?

Back

A horizontal shift to the left by 'h' units means that every point on the graph moves 'h' units left.

Front

What is a vertical stretch by a factor of 2?

Back

A vertical stretch by a factor of 2 means that the y-values of the function are doubled, making the graph steeper.

Front

What does it mean to reflect a function over the x-axis?

Back

Reflecting a function over the x-axis means that the y-values of the function are multiplied by -1.

Front

What is the effect of shifting a graph down by 4 units?

Back

Shifting a graph down by 4 units means that every point on the graph moves down 4 units.

Front

How do you determine the transformations of the function y = √(x + 4)?

Back

The function y = √(x + 4) represents a horizontal shift left by 4 units.

Front

What is the general form of a radical function?

Back

The general form of a radical function is y = a√(bx + c) + d, where a, b, c, and d are constants.

Front

What does the notation f(x) = ∛(x) represent?

Back

The notation f(x) = ∛(x) represents the cube root function.

Front

How do you express a vertical compression of a function?

Back

A vertical compression of a function can be expressed by multiplying the function by a factor less than 1.