AA C&C Final Exam Review: Units 3 & 4

Front

What is an extraneous solution in the context of radical equations?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

Front

Given the radical equation \(\sqrt[]{x+20}=x\), what is the extraneous solution?

Back

The extraneous solution is \(x = -4\).

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

What does the graph of a polynomial of degree 5 typically look like?

Back

A polynomial of degree 5 can have up to 5 x-intercepts and can exhibit various turning points.

Front

How do you determine the equation of a polynomial from its graph?

Back

You can determine the equation by identifying the x-intercepts and their multiplicities.

Front

What is the simplified form of \(\sqrt{-64} + \sqrt{-9} - \sqrt{-25}\)?

Back

The simplified form is \(6i\).

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as \(i = \sqrt{-1}\).

Front

What is a transformation in the context of graphing functions?

Back

A transformation refers to changes made to the graph of a function, such as translations, reflections, stretches, or compressions.

Front

How do you graph the function \(g(x) = 4\sqrt[]{x+2} - 3\) using transformations?

Back

Start with the parent function \(f(x) = \sqrt[]{x}\), shift it left 2 units, stretch it vertically by a factor of 4, and then shift it down 3 units.

Front

What is the parent function for square root functions?

Back

The parent function for square root functions is \(f(x) = \sqrt[]{x}\).