Math 3 EOC Review

Front

What is the general form of a cosine function?

Back

The general form of a cosine function is y = A cos(B(x - C)) + D, where A is the amplitude, B affects the period, C is the horizontal shift, and D is the vertical shift.

Front

How do you find the roots of a polynomial?

Back

To find the roots of a polynomial, set the polynomial equal to zero and solve for the variable. This can be done using factoring, the quadratic formula, or synthetic division.

Front

What is the maximum value of the function y = -3cos(2x) + 8?

Back

The maximum value occurs when cos(2x) = -1, so the maximum value is 8 - 3(-1) = 11.

Front

What is the minimum value of the function y = -3cos(2x) + 8?

Back

The minimum value occurs when cos(2x) = 1, so the minimum value is 8 - 3(1) = 5.

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula A = πr², where r is the radius.

Front

What does the center of a circle represent in its equation?

Back

In the equation of a circle (x - h)² + (y - k)² = r², the center is represented by the point (h, k).

Front

What is the difference between maximum and minimum values of a function?

Back

The difference between the maximum and minimum values of a function is called the range of the function.

Front

How do you factor the expression 4t² - 16?

Back

4t² - 16 can be factored as 4(t + 4)(t - 4) using the difference of squares.

Front

What is the significance of the roots of a polynomial?

Back

The roots of a polynomial are the values of x for which the polynomial equals zero, indicating where the graph intersects the x-axis.

Front

What is the amplitude of a cosine function?

Back

The amplitude of a cosine function is the maximum distance from the midline of the graph to its peak, represented by the absolute value of A in the function y = A cos(B(x - C)) + D.