SAT1M1-040506

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from a given set, known as the domain.

Front

What does the notation g(x) represent in a function?

Back

g(x) represents the output of the function g for a given input x.

Front

How do you find the value of x when g(x) = 25 for the function g(x) = x^2 + 9?

Back

Set the equation x^2 + 9 = 25, then solve for x. This gives x^2 = 16, so x = 4 or x = -4.

Front

What is the formula for calculating the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

If a die has 14 faces, what is the total number of possible outcomes when rolling it once?

Back

The total number of possible outcomes is 14.

Front

What is the probability of rolling a specific number (e.g., 2) on a fair 14-sided die?

Back

The probability is 1/14, since there is one favorable outcome (rolling a 2) out of 14 possible outcomes.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax^2 + bx + c = 0, given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the vertex of a parabola represented by the function g(x) = x^2 + 9?

Back

The vertex of the parabola is at the point (0, 9), since the function opens upwards and the minimum value occurs at x = 0.

Front

What does it mean for a die to be fair?

Back

A fair die means that each face has an equal chance of landing face up when rolled.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its derivative is positive over an interval, and decreasing if its derivative is negative.