WGU C957 Applied Algebra - Brandy actual questions with 100% accurate solutions + rationales (PASSED)

Asymptote

a horizontal, vertical, or slanted line that a graph approaches but never touches

coefficient of determination

A statistic that measures how well a regression prediction approximates the real data points. An r^2 of 1 indicates that the regression prediction is a perfect fit for the data

common ratio

The number by which each term in a sequence is multiplied to find the next number in the sequence; for example 4 is the common ratio for the sequence [1, 4, 16, 64, 256...]

Constant ratio

Occurs when the numeric relationship between two quantities- that is, how many times one number contains the second- remains unchanged over time

Data regression

The process of examining data points to determine a valid equation. "Regression" refers to bringing different data points down toward a normal average- "regressing" them

equation

A mathematical sentence that contains an equals sign.

explanatory variable

A variable that, as it changes, affects another variable (called the response variable); for example, as a person pumps more gas into a car's tank(the explanatory variable), the cost of the purchase rises (the response variable)

exponent

A mathematical notation indicating the number of times a quantity is multiplied by itself.

exponential function

a function of the form f(x) = ab^x, where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1

extrapolation

the act of estimation by projecting known information

f(x)=mx+b

linear function

f(x) = mx

A very basic function

function

A relation based on a set of inputs and a set of possible outputs where each input is related to exactly one output

function notation

a way to name a function that is defined by an equation

Global Maximum

Finds the highest y-number the function goes to

Global minimum

Finds the lowest y-number the function goes to

Horizontal Asymptote

a horizontal line that the curve approaches but never reaches

inequality

A mathematical sentence that shows the relationship between quantities that are not equivalent

inflection point

The point on a curve at which the curves concavity changes; also called the point of inflection

Input-output pairs

The representation of an input value and an output value as an ordered pair, written (x,y)

Interpolation

A method of inserting new data points in the range of a known set of data points

Interrelated causality

An output produced by the interaction of several connected, or related, inputs

interval

A range of numbers that include all the real numbers between its endpoints

inverse

opposite

inverse function

a function that "undoes" what the original function does

least-squares regression method

uses all of the data to separate a mixed cost into its fixed and variable components

linear function

A function whose graph is a straight line.

linear regression

an algorithm to find a precise line of fit for a set of data

Logistic function

A function that produces an s-shaped curve and contains two asymptotes

Moore's Law

the observation that computing power roughly doubles every two years.

Multivariate

involving more than two variables

order of operations

the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponets 3. multiplication and divison 4. addition and subtraction (please excuse my dear aunt sally)

ordered pair

A pair of numbers that give the location of a point on a x and y grid. for example graph (3, 2)

Output Variables

The output, represented by one or more letters, such as m or d(t), produced by a function, based on the output variable

Polynomial

a mathematical expression that is the sum of a number of terms

Polynomial's degree

The value of a polynomials largest exponent

Big Box Stores

A very large store, typically over 50000 square feet, of plain design, resembling a large box

Calculate the average rate of change

The formula to compute an average rate of change is

quantitative variable

a characteristic that can be measured numerically

qualitative variable

A variable that is not numeric; also called a categorical variable, a qualitative variable describes data that fits into categories

response variable

A variable that is changed by another variable (called the explanatory variable); for example, when a person is purchasing gas, the cost (the response variable) rises as more gas is pumped into a cars tank (the explanatory variable).