Lessons 12-15 Flashcard

Front

What is the line of reflection for an inverse function?

Back

Front

What is the domain of a square root function?

Back

Front

What is the x-intercept of a function?

Back

The x-intercept of a function is the point where the graph intersects the x-axis, represented as (x, 0).

Front

Back

The transformations are: reflects vertically, vertical stretch by 3, right 2, up 1.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y variables and solve for y.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it passes the horizontal line test, meaning each y-value corresponds to exactly one x-value.

Front

What is a vertical stretch in transformations?

Back

A vertical stretch occurs when the output values of a function are multiplied by a factor greater than 1, making the graph taller.

Front

What is the significance of the vertex in a square root function?

Back

The vertex is the point where the graph starts, and it represents the minimum value of the function.

Front

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

Back

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

Front

How do you determine the range of a square root function?

Back

The range of a square root function is all real numbers greater than or equal to the y-value of the vertex.