Graphing Calculator Skills - Math 148 – Business Calculus
note: Math 140 skills that you need to (re)learn follow
Calculus Applications
 [C.1] Use MATH/Solver with the difference quotient to calculate average rate of change (approximate derivative)
for any given function.
 [C.2] Find the exact numerical derivative using MATH/nDeriv
 [C.3] Using MATH/nDeriv, the elasticity formula and a given demand function (quantity as a function of price)
find the elasticity. Use the table feature to find the price when elasticity=1 and thus the price that optimizes
revenue.
 [C.4] Use MATH/fnInt along with MATH/SOLVER to find the value of the definite integral of any function.
Apply this skill also to finding the average value and moving average value of a function.
A SUGGESTION FOR PUTTING EQUATIONS INTO Y= SLOTS
Use Y1 and Y2 for putting in functions. Use Y4 for some combination of these two (examples: add, multiple,
compose), or just let Y4=Y1 when using Y1 as is. This makes Y3 available as an open “workspace”
1.
EXPONENTIAL MODEL (use in solver) Using Growth Factor then K=1, Using Growth Rate Constant:B=e
Y 5=A*B ^(K*T)-M
2.
LOGISTIC MODEL (use in solver) Using Growth Factor then K=1, Using Growth Rate Constant then B=e
Y 6 =N/ (1+A*B^(-K* T))-M
3. DIFFERENCE QUOTIENT (use in solver)
good for approximate derivatives, also good for average rate of change
Y7=(Y4(X+H)-Y4(X))/H-M
4. NUMERIAL DERIVATIVE - Use on home screen Y8( ) to evaluate the derivative. Also you can plot
Y8 to see a graph of the derivative (turn graphing off in not in use, it takes quiet awhile to graph)
Y8= nDeriv (Y4, X, X)
5. ELASTICITY Use on home screen.
find price for elasticity of 1.
Y9( at some price ) finds elasticity. Use the table for Y6 to help
Y9 =-nDeriv (Y4, X, X)*X/Y4(X)
6. BASIC (DEFINITE) IINTEGRATION (use in solver)
Y 0=finInt(Y 4, X, A, B)-I
Graphing Calculator Skills - Math 140 – Business Pre-Calculus
Basic Operations
 [C.1] Perform fundamental arithmetic calculations with clear understanding order of operations, this includes
MATH menu functions abs,frac,dec.
 [C.2] Configure the calculator using MODE and FORMAT Menus.
 [C.3] Translate expressions into inline form without error
Functions
 [C.4] Enter functions for use (y= screen)
 [C.5] Evaluate functions in three ways, graphically using CALC/value, functional notation on the home screen,
using a table of input/outputs)
 [C.6] Obtain a table of input/output values for a given function using TABLE SET and TABLE.
 [C.7] Obtain a useable graph of linear, quadratic, exponential, logistic, logarithmic, or rational functions with a
proper combination of WINDOW settings and ZOOM features.
Use either the CALC features for graphs to
 [C.8] Determine the root or zero of a function
 [C.9] Determine extrema of a function using maximum or minimum
 [C.10] Determine the intersection of two functions using intersect
 [C.11] Enter relationship data and determine the best fit model function for that relationship using regression
(STAT/EDIT, STAT/CALC)
 [C.11] Use that best fit model function to make predictions (i.e. evaluate and solve using regression function,
(VARS/Statistics/EQ/RegEQ)
 [C.12] Use Solver to find the value of any unknown (parameter, input, output) in an equation generated from a
function. (MATH/Solver)
Matrices
 [C.13] Enter matrices (MATRIX/EDIT)
 [C.14] Add, subtract, multiply matrices
 [C.15] Finad the inverse of a matrix (using “inverse” key x-1). What does the error “Singular” mean?
 [C.16] Generate and use an Identity matrix (for example, in Input/Output analysis) (MATRIX/MATH/Identity)
 [C.17] Use matrix operations (inverse and multiply) to solve the matrix equation
 [C.18] Use „rref‟ to solve a system of equations written as an augmented matrix
Finance
 [C.19] Use MATH/Solver and the simple interest equation to find either the principal, maturity value, time period,
or the interest rate of loans and savings using the simple interest model.
 [C.20] Use the TVM Solver (APPS/Finance) to find either principal, maturity value, time period, or the interest
rate of loans, savings, annuities, with compounding and payments.