Unit 1 Radicals

Front

What is a radical function?

Back

A radical function is a function that contains a variable within a radical (square root, cube root, etc.). The general form is @@f(x) = oot[n]{g(x)}@@ where g(x) is a polynomial.

Front

What is the domain of a radical function?

Back

The domain of a radical function is the set of all input values (x) for which the function is defined. For even roots, the expression inside the radical must be non-negative.

Front

How do you find the interval of increase/decrease for a radical function?

Back

To find the intervals of increase or decrease, calculate the derivative of the function and analyze its sign. If the derivative is positive, the function is increasing; if negative, it is decreasing.

Front

What is hull speed in sailing?

Back

Hull speed is the theoretical maximum speed of a boat, determined by the length of its waterline. It can be calculated using the formula @@s = 1.34 oot{l}@@ where l is the length in feet.

Front

How do you calculate the hull speed for a boat with a 10-foot waterline?

Back

Front

What is the formula for voltage in terms of power for an audio system?

Back

The voltage V can be represented by the formula @@v = 6 oot{p}@@ where P is the power in watts.

Front

How do you calculate the voltage for a speaker with 600 watts of power?

Back

Front

What is the average rate of change?

Back

Front

How do you find the average rate of change between (-4, -2) and (-3, -1)?

Back

Front

What is a solution in the context of equations?

Back

A solution is a value or set of values that satisfy an equation, making both sides equal.