AFM Mid Term Review Take 2

Front

What is the period of a sine or cosine function?

Back

The period is the length of one complete cycle of the graph. For sine and cosine functions, the period is typically 2π.

Front

How do you solve a system of equations by elimination?

Back

To solve by elimination, manipulate the equations to eliminate one variable, allowing you to solve for the other variable.

Front

Factor the expression: k^2 + 2k - 24.

Back

(k - 4)(k + 6) is the complete factorization.

Front

What is the solution to the equation 2x + 3 = 7?

Back

The solution is x = 2.

Front

What is the change of base formula for logarithms?

Back

The change of base formula states that log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).