*AA C&C Unit 4 Test REVIEW Part 2

Front

What is the result of simplifying \(\sqrt{-36}-\sqrt{-4}+\sqrt{-81}\)?

Back

13i

Front

What is the maximum number of real zeros for the polynomial function \(f(x) = 2x^4 + 19x^2 + 24\)?

Back

4

Front

In the context of a graph, what does an interval of decrease represent?

Back

An interval where the function's output values decrease as the input values increase.

Front

How do you identify the relative maximum on a graph?

Back

Look for the highest point in a given interval of the graph.

Front

What is the relationship between the factors of a polynomial and its zeros?

Back

Setting each factor equal to zero gives the zeros of the polynomial.

Front

What is the imaginary unit \(i\) defined as?

Back

\(i = \sqrt{-1}\)

Front

How do you simplify expressions involving square roots of negative numbers?

Back

Use the imaginary unit \(i\) to express them in terms of real numbers.

Front

What is the significance of the degree of a polynomial in relation to its zeros?

Back

The degree indicates the maximum number of real zeros the polynomial can have.

Front

What does it mean for a function to have a maximum number of real zeros?

Back

It means that the function can intersect the x-axis at most that many times.

Front

How can you determine the intervals of increase and decrease on a graph?

Back

By analyzing the slope of the function; positive slope indicates increase, negative slope indicates decrease.