
Exponential Functions & CA4 Review
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+13
Standards-aligned
Christopher Barrick
Used 7+ times
FREE Resource
6 Slides • 21 Questions
1
Exponential Functions and Review for CA4
2
a = y - intercept
b = growth or decay
c = asymptote
3
Multiple Choice
4
Multiple Choice
y=2000(0.88)x
y=0.5(1.88)x
5
a = y - intercept OR INITIAL VALUE
b = growth or decay
6
Multiple Choice
What is the initial value of the situation represented by f(x)=0.05(2)x?
0.05
2
0.1
1
7
Multiple Choice
Write an exponential function to model the situation.
The value of a car is $18000 and is depreciating at a rate of 12% per year.
V(t) = .88(18000)t
V(t) = .12(18000)t
V(t) = 18000(.88)t
V(t) = 18000(.12)t
8
Multiple Choice
Write an exponential function to model the situation.
The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year.
C(t) = 12000(6)t
C(t) = 12000(1.6)t
C(t) = 12000(.06)t
C(t) = 12000(1.06)t
9
Multiple Choice
The amount of cola in a soda machine decreases by a rate of 5% each hour. The amount of cola in the machine was originally 75 gallons.
Which function models the amount of cola in gallons after h hours?
f(h) = 75(-5)h
f(h) = -5(75)h
f(h) = .95(75)h
f(h) = 75(.95)h
10
Multiple Choice
Write an exponential function to model the situation.
You invest $1500. Your investment increases at a rate of 3.5%.
B(t) = 1500(0.965)t
B(t) = 1500(1.035)t
B(t) = 1500(.035)t
B(t) = 1500(1.965)t
11
Multiple Choice
A
B
C
D
12
Multiple Choice
F
G
H
J
13
Multiple Choice
A
B
C
D
14
Multiple Choice
F
G
H
J
15
Review for CA4
16
Transformations
17
Multiple Choice
18
Multiple Choice
19
Multiple Choice
The quadratic function f(x)=x2 is transformed to create g as shown in the graph.
What is the equation of g?
20
Linear Factors
21
Multiple Choice
Which line represents a factor of the quadratic function?
The blue line
The green line
The purple line
The black line
22
Multiple Choice
Which binomial is a factor of the polynomial
x2 + x - 6 ?
(x - 2)
(x - 6)
(x + 6)
(x + 2)
23
Multiple Choice
Solve the following quadratic equation:
4x2+16x=−12
x=−12
x=1, 3
x=3, 4
x=−3, −1
24
Multiple Choice
Solve the following quadratic equation:
k2+19k+35=7k
k=12, 35
k=5, 7
k=7, 19
k=−7, −5
25
Multiple Choice
Which of the following quadratic equations best represents the following data?
y = 7x2 - 3x
y = 3x2 - 2x + 1
y = 6x2 + 3x - 2
y = 7x2 - 3x + 1
26
Multiple Choice
27
Multiple Choice
Write the exponential regression equation for the data.
Y=8.16(2.7)x
Y=81.6(2.7)x
Y=8.16(.27)x
Y=8.16(27)x
Exponential Functions and Review for CA4
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