WorksheetsKey Features of Exponentials
Total questions: 23
Worksheet time: 13mins
Name
Class
Date
1.
What is the range of this graph?
a)
y = 6
b)
(0, -4)
c)
y > -6
d)
y < -6
2.
What is the range of this function?
a)
-∞< y < 0
b)
0< y <∞
c)
-∞< y <4
d)
4< y <∞
3.
Given y=3x determine the y-intercept
a)
(0,1)
b)
(0,3)
4.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
5.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
6.
Identify the factor of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
7.
Identify the y-intercept (initial value) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
8.
Given the function, f(x) = 6.5(0.85)x, identify the initial value.
a)
6.5
b)
0.85
c)
x
d)
f(x)
9.
Given the function, f(x) = 6.5(0.85)x, identify the growth/decay factor.
a)
6.5
b)
0.85
c)
x
d)
f(x)
10.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
11.
Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. What is the initial value?
a)
4%
b)
40%
c)
$3000(1.04)
d)
$3000
12.
Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. What is the factor?
a)
.4
b)
.96
c)
.04
d)
1.04
13.
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?
a)
4%
b)
It doesn't say
c)
I don't know
d)
400%
14.
What is r, the decay rate, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
x
15.
The student council makes an initial investment in a savings account that earns interest. The value of the savings account after m months is determined by the function v(m) = 2,000(1.005)m. What is the interest rate of the savings account?
a)
2,000
b)
1.005
c)
.005
d)
.5%
16.
What is a, the initial amount, for the function: f(x) = 800(0.85)x?
a)
800
b)
0.85
c)
0.15
d)
680
17.
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the rate of change, the B variable?
a)
0.14
b)
14
c)
1.14
d)
.86
18.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
19.
What is the growth factor of f(x) = 4(3)x
a)
4
b)
3
c)
1
d)
x
20.
What is a, the initial value, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
21.
If the value B is greater than 1, what type of exponential function is represented?
a)
decay
b)
growth
22.
What is the factor?
a)
5
b)
1/3
c)
x
d)
y
23.
What is the y-intercept?
a)
5
b)
1/3
c)
x
100 %
