Name ___________________________________ Date:_________________Hr:_______
Algebra 1: Exponential Functions Assessment Review
Learning Target: I can graph exponential functions and show key features. (y-intercepts,
domain/range, growth/decay) F-IF.C.7, F-IF.C.7e
1. Graph each of the following functions and identify the domain, range, y-intercept.
x
æ1ö
y = 3ç ÷
è4ø
x
y
(x,y)
G
-2
-1
0
1
2
Domain:
Range:
x
Growth or Decay?
y = 3x
y
y-intercept:(____,___)
(x,y)
G
-2
-1
0
1
2
Domain:
Range:
Growth or Decay?
y-intercept:(____,___)
Learning Target: I can identify and explain the variables that model real –world exponential
functions. F-LE.A.1a
2. Explain what each number and variable would represent:
The beetle population is modeled
by the equation
The value of a car is modeled by
The equation
y = 120,000(1.03)x.
y = 25,000(0.84)x.
x = ________________________
x = ________________________
y =______________________
y =______________________
120,000 = ______________________
25,000 = ________________________
1.03 =___________________________
0.84 =________________________
Learning Target: I can classify an exponential function as being exponential growth/decay.
And identify the necessary variables given a graph or table. F-IF.C.8b
3. For each of the following situations, write an exponential model of the form y = a(b)x.
Growth / Decay?
a=
b=
Equation :
__________
x y
-2 48
-1 24
0 12
1 6
2 3
Growth / Decay?
a=
b=
Equation :
__________
Learning Target: I can determine/identify the variable necessary to solve a problem.
I can determine if an exponential situation is a model of growth or decay
I can evaluate exponential functions to solve real – world problems.
F-LE.B.5, F-LE.A.1c
4. Identify the variables and solve each problem.
WRITE AND EQUATION THAT
REPRESENTS THIS SITUATION
QUESTION
Initial Amount =
Brianna’s parents
invested $14,000 at
6% interest
compounded
monthly. How much Growth/Decay Rate:
1.
money will be in the
account after 10
years?
ANSWER:
Equation:
Time
Sentence:
2.
3.
Initial Amount =
Ms. Trybuski
bought a new house
for $198,000 in
2012. The value of
Growth/Decay Rate:
the house is
1.
depreciating 1.125%
each year. How
much will the house
2.
be worth today?
3.
Equation:
Time
Sentence:
WRITE AND EQUATION THAT
REPRESENTS THIS SITUATION
QUESTION
Initial Amount =
Eyman has a $5000
balance on her
credit card bill. The
interest rate is 12%
Growth/Decay Rate:
compounded
1.
quarterly. If Eyman
doesn’t make any
payments for one
2.
year, what will her
new balance be?
ANSWER:
Equation:
Time
Sentence:
3.
Initial Amount =
A strain of bacteria
contains 100 cells
and is increasing
30% each hour.
How many bacteria Growth/Decay Rate:
1.
cells will there be
after 6 hours?
2.
3.
Equation:
Time
Sentence: