Algebra 2 Final Review

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

A relation is a function if each input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on its graph.

A function is invertible if there exists another function that reverses the effect of the original function, meaning that for every output, there is a unique input.

m(-6) = 2(-6) + 1 = -12 + 1 = -11.

x = 5 or x = 11.

The formula is t = -kw + b, where k is the rate of decrease, w is the time in weeks, and b is the initial amount.

t = -15w + 275.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.