EOC Review 12/11

Front

What is the amplitude of the function f(x) = 3 * sin(πx) + 2?

Back

The amplitude is 3.

Front

What value of t, to the nearest hundredth, makes the equation 8^3t = 16 true?

Back

t = 0.44.

Front

For which value of x must p(x) = q(x) have a solution if p(x) and q(x) are graphed?

Back

x = 3.

Front

What does the value 500 represent in the expression 500 - 2x^2 for weekend movie ticket sales?

Back

It represents the number of weekend movie tickets sold when the movie is initially released, when x = 0.

Front

Define amplitude in the context of trigonometric functions.

Back

Amplitude is the maximum distance from the midline of the graph to its peak or trough.

Front

What is the general form of a quadratic function?

Back

The general form is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the solution to an exponential equation like 8^3t = 16?

Back

Convert both sides to the same base and solve for t.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

Explain the concept of a function's intersection points.

Back

Intersection points are where two functions have the same output value for the same input value.

Front

What does the term 'modeling' refer to in mathematics?

Back

Modeling refers to creating a mathematical representation of a real-world situation.