APPLIED ALGEBRA EXAM 2 QUESTIONS WITH DETAILED VERIFIED ANSWERS

APPLIED ALGEBRA EXAM 2 QUESTIONS
WITH DETAILED VERIFIED ANSWERS
Input

Independant Variable/ X-Axis

Output

Dependent Variable/ Y-Axis

Function Notation

Ex: R (x) = 0.50 x

Linear Function

L (x) = 3x-6 (Constant Rate)

Polynomial Function

P (x) = -2x + 3x + 7 (Change from Increase to Decrease)

Exponential Function

Ex: E (x) 2e- 0.7x (Constant % of Change)

Logistic Function

10000/1+4e -0.2x (division) (Stabilizing, Reaching a Limit)

Linear Graph (Rate of change)

straight dotted line

Logistic Graph (Stabilizing, Reaching a Limit, Growth/decline)

S- shaped graph/ 2 ASYMPTOTES

Exponential Graph (% percentage)

J-shaped curve/ INTEREST PERCENT/ ONE ASYMTOTE

, polynomial graph (Change from Increase to Decrease)

squigly line up and down

Quantitative

Numerical Data

Qualitative

Descriptive data

Interpolation

making a prediction for a situation or time for which you have data

extrapolation

making a prediction for a situation or time for which you have no data

asymptotes ( Stabilized/ Flatlined)

will only use to interpret/ indentify /LOGISTIC

asymptotes( Stabilized/ Flatlined)

As we move to the right it doesn't give an endpoint/ never crosses/close to zero

Average rate of change (PER)

the difference between two points
(Y2-Y1 /X2-X1)

Slope (PER)

Interpret what which #is the slope Ex: 11m

instantaneous

(PER & Steepness) /no calculations/ at a single point

Time

Input