
Functions will not always be linear or exponential but in this question there is 1 linear and 3 exponential answer choices:
An exponential function has the variable on the exponent. A student in a classroom last year called it the “floating midget x”!
Let’s look at our options:
(1) compounded interest: exponential!! Notice the formula has A = P (1+r)^t — that exponent makes it exponential and not linear!!
(2) doubling…hey that’s Moore’s Law: exponential function that makes the phone/computer you are reading this on exist!!
(3) cell phone service we could write the equation like this: y = .20x + base looks mighty like y = mx + b
(4) decay function is exponential as it also uses an exponent
Category Archives: Common Core Algebra I
Get the Math and Points Aug 2014 CC Alg I #29

The maximum of the above graph f(x) is 5 (when x = 1, y = 5)>
Let’s put g(x) into the TI-84:
Look at the graph below: definitely goes higher than the original graph and therefore has a larger maximum value.
Check out the table below — maximum y value is 11 which definitely beats 5!


Get the Math and the Points CC Alg I Regents Aug 2014 #6

This is a distributive minus sign problem and the Regents has anticipated negative sign mistakes so be careful!!
R(x) = -0.5x^2 + 800x – 100
C(x) = 300x + 250
so R(x) – C(x) is
-0.5x^2 + 800x – 100 – (300x + 250)
-0.5x^2 + 800x – 100 – 300x – 250
combine like terms and watch your signs
2 more points!!!!!
Get the Math and the Points Aug 2014 CC Alg I Regents #14

This is really a slope question (average rate of change)
Look at the units: millimeters per year
So millimeters/years…millimeters divided by years
The average pupil diameter changed from 4.7 to 2.3
So -2.4mm is the change but over 60 years
We know it is 60 years from 20 to 80
-2.4mm/60 years
Get the Math and Points Aug 2014 CC Alg I Regents #20

Try the provided values by substituting in for x. We need to be careful about using parentheses when we enter the equation into Y=
We are looking for the x value that makes the equation equal 5/6


