Review - Unit 3 Radical Functions

Front

What is an extraneous solution in radical equations?

Back

An extraneous solution is a solution that appears during the solving process but doesn't satisfy the original equation.

Front

What does the y-intercept of a function represent in the context of distance fallen over time?

Back

The y-intercept represents the initial distance of the object, which is 0 feet.

Front

Back

Front

What is the definition of a radical function?

Back

A radical function is a function that contains a variable within a radical (square root, cube root, etc.).

Front

What is the general form of a square root function?

Back

Front

How do you determine the domain of a radical function?

Back

The domain is determined by finding the values of x that make the expression under the radical non-negative.

Front

Back

The parameter 'a' affects the vertical stretch or compression of the graph.

Front

What is the relationship between the roots of a radical equation and its graph?

Back

The roots of a radical equation correspond to the x-intercepts of its graph.

Front

What is the process for solving a radical equation?

Back

Isolate the radical, square both sides, solve the resulting equation, and check for extraneous solutions.

Front

What is a common mistake when solving radical equations?

Back

A common mistake is failing to check for extraneous solutions after squaring both sides.