M
Math Coach Amy
Amy Ferguson Moncure

Advanced Math – Exponential Functions

Analyze growth and decay models, interpret the base and initial value, and solve exponential problems.

Question ID Difficulty Topic Focus
02c67921 Easy Exponential growth/decay and sequences
893c7519 Easy Exponential growth/decay and sequences
cfff8f8e Easy Exponential growth/decay and sequences
02add2d2⭐⭐⭐ Medium Write an exponential equation from a story
0a74365c⭐⭐⭐ Medium Find the original population if you know the end population and that it has doubled every time.
0f9f8ea7⭐⭐⭐⭐ Medium Find the initial number of bacteria
The wording on this problem is confusing!
15c364bf⭐⭐ Medium Interpret function notation with exponential functions
281a4f3b⭐⭐⭐ Medium Write the equation for a word problem containing percent decrease
4209aefe⭐⭐⭐ Medium Interpret function notation for an exponential function.
The input is the number of years after 1957
This is a GOOD problem.
4618501a⭐⭐ Medium Interpret the meaning of the y-intercept in the context of the story.
52b1700c⭐⭐⭐⭐ Medium Given a table, match the exponential function.
You can eliminate choices using your knowledge of a or b
Another option is to perform an exponential regression in Desmos
5c00c2c1 Medium Exponential growth/decay and sequences
752055d1 Medium Exponential growth/decay and sequences
768b60d2⭐⭐⭐⭐ Medium k as a coefficient or base
This type of question is highly likely!
7a4475df Medium Exponential growth/decay and sequences
7ba694f3 Medium Exponential growth/decay and sequences
7e5a3640 Medium Exponential growth/decay and sequences
99c5e794 Medium Exponential growth/decay and sequences
a31417d1 Medium Exponential growth/decay and sequences
c048055c Medium Exponential growth/decay and sequences
d8ace155 Medium Exponential growth/decay and sequences
db888cd6 Medium Exponential growth/decay and sequences
dd8ac009 Medium Exponential growth/decay and sequences
e1391dd6 Medium Exponential growth/decay and sequences
e53add44 Medium Exponential growth/decay and sequences
f1c81b3b Medium Exponential growth/decay and sequences
f423771c Medium Exponential growth/decay and sequences
ff8c5844 Medium Exponential growth/decay and sequences
08d03fe4⭐⭐⭐⭐⭐ Hard k as a coefficient or base
This type of question is highly likely!
781c2f6e⭐⭐⭐⭐⭐ Hard k as a coefficient or base
This type of question is highly likely!
1073d70c⭐⭐⭐⭐ Hard Write exponential equation in the form y = a·bx
Wordy!
1f353a9e⭐⭐⭐⭐ Hard Interpret the y-intercept of an exponential equation given a word problem.
1fe10d97⭐⭐⭐⭐ Hard How does changing from years to months affect the exponential equation?
This question is highly likely!
161126cf⭐⭐⭐⭐⭐ Hard Change from time is x to time is x/4
263f9937⭐⭐⭐⭐⭐ Hard Given a table, determine the number of days to reach a certain number.
Hint: use Desmos to create an exponential regression.
0e61101e⭐⭐⭐⭐ Hard Find equivalent exponential equations.
Desmos is an option
2c6f214f⭐⭐⭐⭐ Hard Geometric sequences written as exponential equations.
Remember, geometric sequences start off at n=1
270cf326⭐⭐⭐ Hard Which exponential has a given minimum value
1853bb35⭐⭐⭐ Hard Write a percent decrease as an exponential equation
43926bd9 Hard Exponential growth/decay and sequences
9afe2370 Hard Exponential growth/decay and sequences
a9084ca4 Hard Exponential growth/decay and sequences
b73ee6cf Hard Exponential growth/decay and sequences
b7c74b73 Hard Exponential growth/decay and sequences
ce579859 Hard Exponential growth/decay and sequences

Tip: Search these exact Question IDs in the College Board SAT Suite Question Bank, Advanced Math, skill Nonlinear functions for full questions and rationales.

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