Alg Final Exam Study Guide

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms. For example, a_n = a_(n-1) + d, where d is a constant.

Front

What does f(x) represent in mathematics?

Back

f(x) represents a function of x, which is often denoted as y.

Front

In the function f(x)= 2,000(6)^(x/2), what does the value 2,000 represent?

Back

The value 2,000 represents the initial deposit in the investment model.

Front

How do you evaluate a function b(x)= 2x^2+2x+2 at x=2?

Back

b(2) = 2(2)^2 + 2(2) + 2 = 14.

Front

What is vertex form of a quadratic function?

Back

Vertex form is expressed as y = a(x-h)^2 + k, where (h,k) is the vertex of the parabola.

Front

How do you convert y = x^2 + 10x + 22 to vertex form?

Back

Rewrite as y = (x+5)^2 - 3.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and is represented by a straight line, while a quadratic function has a variable rate of change and is represented by a parabola.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0, where a, b, and c are constants.

Front

What does the term 'growth factor' mean in exponential functions?

Back

The growth factor is the constant by which a quantity increases in an exponential function, often represented as 'b' in f(x) = a(b^x).

Front

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

Back

The vertex is the highest or lowest point of the parabola, indicating the maximum or minimum value of the function.