Alg 2 Fall 2024

An exponential function is a mathematical function of the form $$f(x) = a \times b^x$$ , where $$a$$ is a constant, $$b$$ is a positive real number, and @@b eq 1@@.

$$i^2 = -1$$ .

A complex number is a number that can be expressed in the form $$a + bi$$ , where $$a$$ and $$b$$ are real numbers and $$i$$ is the imaginary unit.

The simplified expression is $$-5i + 10$$ .

Real numbers are numbers that can be found on the number line, while imaginary numbers are multiples of the imaginary unit $$i$$ , which is defined as $$\text{sqrt}(-1)$$ .

The general form of a quadratic equation is $$ax^2 + bx + c = 0$$ , where $$a$$ , $$b$$ , and $$c$$ are constants and @@a eq 0@@.

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, represented by the function $$f(x) = a \times b^x$$ with $$b > 1$$ .

The standard form of a linear equation is $$Ax + By = C$$ , where $$A$$ , $$B$$ , and $$C$$ are integers.

A polynomial function is a function that can be expressed in the form $$f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0$$ , where $$a_n, a_{n-1}, ..., a_0$$ are constants and $$n$$ is a non-negative integer.

The quadratic formula is $$x = \frac{{-b \text{±} \text{sqrt}(b^2 - 4ac)}}{{2a}}$$ , used to find the roots of a quadratic equation.