APPLIED ALGEBRA EXAM 7 QUESTIONS
WITH DETAILED VERIFIED ANSWERS
Quantitative Definition
Qualitative Definition
Rate of change Definition
Describes how one quality changes in relation to another qauntity
Rate of change
May be average or instantaneous. A lines slope is always a rate of change with the keyword
"per"
Qualitative
Direction to the variable but there is absolute no zero point, nor is there any inherent numerical
value
Independent variable
A variable that, as it changes, affects another variable
Dependent variable
A variable that is changed by another variable
Linear function definition
In the form of y=mx+b, where m is the rate of change (or slope) and b is the y-intercept (or
starting value)
Multivariate function
Involving a number of different - though not necessarily independent - variables.
Rate of change is remembered as...
Rise over run
, Ratio
Statement of how two m=number compare
Instantaneous Rate of Change
The rate of change at one particular moment
Polynomial Function
A function with real non-negative numbers - constants, variables, and exponents - that can be
combined using addition, subtraction, multiplication and division. Or meaning of "many terms"
Polynomial's Degree
The value of a polynomial's largest exponent
Quadratic Polynomial
An equation that includes one variable raised to the second power (like x^2) and no greater
exponent (3 or more); its name comes from Latin (quadratus) because the variable is squared.
Quadratic Function
Has one turn
Cubic Function
Has two or more or zero turns
1st degree Polynomial
linear function
2nd degree polynomial
quadratic function
3rd degree polynomial
cubic function
4th degree polynomial
WITH DETAILED VERIFIED ANSWERS
Quantitative Definition
Qualitative Definition
Rate of change Definition
Describes how one quality changes in relation to another qauntity
Rate of change
May be average or instantaneous. A lines slope is always a rate of change with the keyword
"per"
Qualitative
Direction to the variable but there is absolute no zero point, nor is there any inherent numerical
value
Independent variable
A variable that, as it changes, affects another variable
Dependent variable
A variable that is changed by another variable
Linear function definition
In the form of y=mx+b, where m is the rate of change (or slope) and b is the y-intercept (or
starting value)
Multivariate function
Involving a number of different - though not necessarily independent - variables.
Rate of change is remembered as...
Rise over run
, Ratio
Statement of how two m=number compare
Instantaneous Rate of Change
The rate of change at one particular moment
Polynomial Function
A function with real non-negative numbers - constants, variables, and exponents - that can be
combined using addition, subtraction, multiplication and division. Or meaning of "many terms"
Polynomial's Degree
The value of a polynomial's largest exponent
Quadratic Polynomial
An equation that includes one variable raised to the second power (like x^2) and no greater
exponent (3 or more); its name comes from Latin (quadratus) because the variable is squared.
Quadratic Function
Has one turn
Cubic Function
Has two or more or zero turns
1st degree Polynomial
linear function
2nd degree polynomial
quadratic function
3rd degree polynomial
cubic function
4th degree polynomial
