
Topic 6 Review - Exponential Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Lindsey Kruppstadt
Used 17+ times
FREE Resource
19 Slides • 20 Questions
1
Topic 6 Review Exponential Functions
2
6-1A
Solving Exponential Equations
3
Multiple Choice
What is the first step in solving the following exponential equation?
(32x+1)(3−x+4)=310Set the exponenents equal to each other
Use the Product of Powers Property to add the exponents
Change the bases
Cancel out the exponents
4
5
Multiple Choice
Okay, exponents added. What is the next step to solve this exponential equation?
Change the bases
Divide both sides by 3
Set the exponent equal to each other.
6
7
6-1B
Solving Exponential Equations
8
Multiple Choice
What is the first step in solving the follow exponential equation?
Change the base of 8 to 23
Change the base of 2 to 23
Set the exponents equal to each other
Add the exponents together
9
10
Multiple Choice
What is the next step to solving the exponential equation?
Use the Power of a Power Property and multiply the exponents
Set the exponents equal to each other
Divide by 2 on each side
11
12
Fill in the Blanks
Type answer...
13
6-2
Exponential Functions
14
Multiple Choice
Which equation below is an exponential?
y=mx+b
y=2x2
y=a(b)x
y=x
15
Multiple Choice
In the equation y=a(b)x what does the "a" represent?
Common Ratio
Slope
Y-Intercept
Common Difference
16
Multiple Choice
In the equation y=a(b)x what does the "b" represent?
Common Ratio
Slope
Y-Intercept
Common Difference
17
Multiple Choice
Ms. Slominski inherited a rare hockey puck collection from her mother. It initially had 10 hockey pucks. Ms. Slominski keeps doubling the collection each year. Which exponential function represents Ms. Slominski's hockey puck collection size.
y=10(21)x
y=2(10)x
y=10(21)x
y=10(2)x
18
19
Multiple Choice
What is the y-intercept in an exponential function
y=a(b)x
y > 0
(0, a)
y = 0
All Real Numbers
20
Multiple Choice
What is the domain of an exponential function
y=a(b)x
y > 0
(0, a)
y = 0
All Real Numbers
21
Multiple Choice
What is the range of an exponential function
y=a(b)x
y > 0
(0, a)
y = 0
All Real Numbers
22
Multiple Choice
What is the equation for the asymptote in an exponential function
y=a(b)x
y > 0
(0, a)
y = 0
All Real Numbers
23
24
6-3A
Exponential Growth and Decay
25
Multiple Choice
You deposit $5,000 in a savings account. Each year your savings grows by 2%. Which exponential function below represents this scenario?
y=5000(1.2)x
y=5000(1.02)x
y=5000(.02)x
y=5000(.2)x
26
27
Multiple Choice
The population of a city starts at 30,000 but each year they lose 5% of their population. Which exponential equation represents this scenario?
y=30000(.5)x
y=30000(.05)x
y=30000(1.05)x
y=30000(.95)x
28
29
6-4
Geometric Sequences
30
Multiple Choice
What is the common ratio of the geometric sequence below:
48, 12, 3, 43, 163
r = 41
r = 4
r = 48
r = 0.75
31
32
Multiple Choice
Which explicit formula represents this Geometric sequence:
48, 12, 3, 43,163
an=41(48)n−1
a1=48 an=41(an−1)
an=48(41)n−1
an=48(4)n−1
33
34
Multiple Choice
The population of germs in a petri dish is growing every day. If there are 150 germs on day 1, 225 on day 2, 337.5 on day 3, how many germs will there be on day 10? (Round to a whole number)
8,649
8,650
5,766
5,767
35
36
6-5
Transformations of Exponential Functions
37
Multiple Choice
Describe the transformation of the parent function
f(x)=6x to the function g(x)=6x−1−3
Left 3 and Down 1
Right 3 and Down 1
Left 1 and Down 3
Right 1 and Down 3
38
Multiple Choice
Which function represents a translation of 2 unit left and 2 units down of the parent function: f(x)=3x
g(x)=3x−2−2
g(x)=3x−2+2
g(x)=3x+2−2
g(x)=3x+2+2
39
Topic 6 Review Exponential Functions
Show answer
Auto Play
Slide 1 / 39
SLIDE
Similar Resources on Wayground
30 questions
Add and Subtract Integers Lesson 1 (from 3/2)
Presentation
•
9th - 12th Grade
34 questions
Review Teorema Pythagoras
Presentation
•
9th - 12th Grade
35 questions
Parts of the Parabola ALG 1
Presentation
•
9th - 12th Grade
33 questions
6-2 Properties of Parallelograms
Presentation
•
9th - 12th Grade
31 questions
Rational Exponents & Radicals (Laws of Exponents Review)
Presentation
•
9th - 12th Grade
33 questions
Amortization
Presentation
•
9th - 12th Grade
36 questions
Unit Circle Trig Practice
Presentation
•
9th - 12th Grade
37 questions
Circle Equations
Presentation
•
9th - 12th Grade
Popular Resources on Wayground
24 questions
PBIS-HGMS Day 10
Quiz
•
6th - 8th Grade
10 questions
HCS SCI 03 Summer School Review 3
Quiz
•
3rd Grade
11 questions
Home Scope
Quiz
•
7th - 8th Grade
15 questions
HCS SCI 05 Summer School Assessment 3 Review
Quiz
•
5th Grade
35 questions
Lufkin Road Middle School Student Handbook & Policies Assessment
Quiz
•
7th Grade
18 questions
Geo 11.3 Area of Circles and Sectors
Quiz
•
9th - 11th Grade