Name: __________________________________ Period: ______________ Date: _________________________
KEY Algebra Practice Quiz Unit 5
Graph of function in 1-14
Exponential Functions
The formula for an account that earns simple
interest is 𝑃𝑡 = 𝑃0 + (𝑃0 · 𝑟)𝑡 where 𝑃𝑡 represents
the balance in the account after 𝑡 years, 𝑃0
represents the initial deposit, and 𝑟 represents
the interest rate. The formula for an account
that earns compound interest is
𝑃𝑡 = 𝑃0 · (1 + 𝑟)𝑡 where 𝑃𝑡 represents the
balance in the account after 𝑡 years, 𝑃0
represents the initial deposit, and 𝑟 represents
the interest rate.
1-8 Complete the table below for an initial
deposit of $20,000 at a rate of 2.5%. Round
each amount to the nearest dollar
Time
Simple
Interest
Balance
Compound
Interest
Balance
6
months
20,250
1 year
15 years
20 years
20,500
22,500
30,000
20,248
20,500
22,628
32,772
Write the equation of each function after the
translation described.
15. 𝑓(𝑥) = −10𝑥 after a translation 5 units to
the right
𝒎(𝒙) = −𝟏𝟎(𝒙 − 𝟓)
16. 𝑔(𝑥) = 3𝑥 after a translation 4 units up.
𝒎(𝒙) = 𝟑𝒙 + 𝟒
ℎ(𝑥) = 2𝑥 after a translation 2 units left and 1
unit down.
𝒎(𝒙) = 𝟐(𝒙 + 𝟐)𝟐 − 𝟏
Describe each graph in relation to its basic
function.
Identify each of the following for the function
𝒇(𝒙) = 𝟑 · 𝟒𝒙 . Then graph the function.
9. x-intercept(s)
none
10. y-intercept
(0, 3)
11. asymptote
𝒇(𝒙) = 𝟎
12. domain
all real numbers
13. range
𝒇(𝒙) > 𝟎
14. interval(s) of increase/decrease
increasing over the entire domain
17. Compare 𝑓(𝑥) = (𝑥 + 3)2 to the basic
function ℎ(𝑥) = 𝑥 2 . The graph of 𝒇(𝒙) is 3
units to the left of the graph of 𝒉(𝒙).
18. Compare 𝑓(𝑥) = 𝑏 𝑥 + 1 to the basic
function ℎ(𝑥) = 𝑏 𝑥
The graph of 𝒇(𝒙) is 1 unit up from the graph
of 𝒉(𝒙).
Compare 𝑓(𝑥) = 𝑏 −𝑥 to the basic
function ℎ(𝑥) = 𝑥 2 . The graph of 𝒇(𝒙) is a
reflection the graph of 𝒉(𝒙) about the
vertical line 𝒙 = 𝟎
BONUS:
The formula for an account that earns simple
interest is 𝑃𝑡 = 𝑃0 + (𝑃0 · 𝑟)𝑡 where 𝑃𝑡
represents the balance in the account after 𝑡
years, 𝑃0 represents the initial deposit, and 𝑟
represents the interest rate. Paul deposited
$500 into an account that earned 4% simple
interest annually. How much was in his
account after one year?
$520