EOC Finishing Strong Flashcard

Front

What is the formula for exponential growth in prokaryotes?

Back

If a population doubles every fixed interval, the formula is: P(t) = P_0 * 2^(t/T), where P_0 is the initial population, t is the time elapsed, and T is the doubling time.

Front

How do you find the maximum value of a polynomial function?

Back

To find the maximum value of a polynomial function, take the derivative, set it to zero to find critical points, and evaluate the function at those points and endpoints.

Front

What is the method to solve rational equations?

Back

To solve rational equations, find a common denominator, eliminate the denominators, and solve the resulting polynomial equation.

Front

How do you find the coordinates of the center of a circle from its equation?

Back

Front

What is the significance of critical points in calculus?

Back

Critical points are where the derivative is zero or undefined; they help identify local maxima, minima, and points of inflection.

Front

What is the doubling time in population growth?

Back

Doubling time is the period it takes for a quantity to double in size or value, often used in the context of population growth.

Front

What is the relationship between the degree of a polynomial and its maximum number of turning points?

Back

The maximum number of turning points of a polynomial function is one less than its degree.

Front

How do you determine the x-intercepts of a function?

Back

To find the x-intercepts, set the function equal to zero and solve for x.

Front

What is the standard form of a circle's equation?

Back

Front

What is the process for solving a quadratic equation?

Back