Solutions for Chapter 2.1: Polynomial, Power, and Rational Functions

The acute angle formed by the line of sight (upward) and the horizontal

A sequence of equal periodic payments.

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

A sequence {an} converges to a if limn: q an = a

A degree 3 polynomial function

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

A test for determining whether the inverse of a relation is a function.

The function y = csc-1 x

The function y = tan-1 x

Real numbers that are not rational, p. 2.

Zeros of a function that are irrational numbers.

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

The inverse of the exponential function y = ex, denoted by y = ln x.

The various possible results of an experiment.

See Polar coordinate system.

The movement of an object that is subject only to the force of gravity

The points where the ellipse intersects its focal axis.