

Semester 1 Finals Review
Presentation
•
Mathematics
•
9th Grade
•
Medium
+6
Standards-aligned
Osman Özel
Used 13+ times
FREE Resource
14 Slides • 16 Questions
1
Semester 1 Finals Review

2
Arithmetic Sequence: A recursive formula must state
f(1) first term
add the common difference (rate of change) to the previous term f(n-1)
3
Multiple Choice
Write the recursive function that represents this sequence:
f(1)= -4, f(n)= f(n-1) + 3
f(1)= -4, f(n)= f(n-1) - 3
f(n)= -7 + 3n
f(n)= f(n-1) + 3
4
Geometric Sequence: A recursive formula must state
f(1) first term
multiply the previous term f(n-1) by the common ratio (factor of change)
5
Multiple Choice
What are the first four terms of the sequence that has the recursive formula in the image?
40, 80, 160, 320
40, 20, 10, 5
40, 80, 120, 160
40, 160, 320, 640
6
Arithmetic Sequences
have an adding the same number pattern
7
Geometric Sequences
have a multiplying with the same number pattern
8
Multiple Choice
What type of sequence fits with the pattern in the image?
Arithmetic
Geometric
Quadratic
Cubic
9
Multiple Choice
What type of sequence fits with the pattern in the image?
Arithmetic
Geometric
Quadratic
Cubic
10
Multiple Choice
Which of the following represents the recursive formula for the pattern?
f(1)=4 , f(n)=f(n−1) ∙ 3
f(1)=4 , f(n)= f(n−1) + 3
f(n)=43
f(n)=1∙ 3x
11
Multiple Choice
Which of the following represents the explicit formula for the pattern?
f(1)=4 , f(n)=f(n−1) ∙ 3
f(1)=4 , f(n)= f(n−1) + 3
f(n)=43
f(n)=1∙ 3x
12
Multiple Choice
What are the next two numbers in the sequence? 19, 26, 33,
40, 47
40, 45
45, 50
66, 99
13
14
Multiple Choice
Given the table, identify the type of function and the rate or factor of change.
Linear Function, rate of change is 5
Exponential Function, factor of change is 5
There is no constant rate or factor of change
Linear Function, rate of change is 7
Exponential Function, factor of change is 7
15
The function
is linear.
has a constant rate of change (common difference).
rate of change is the slope of the line.
16
The function
is exponential factor
has a constant factor of change (common ratio).
factor of change is 2
17
Evaluate the function
Substitute x with the given number.
18
Multiple Choice
Evaluate f(x) = 10x + 5 when x= -2
-15
15
25
-25
19
Weight of a watermelon in time (days) is represented by the function f(t)
t = time in days
f(t) = weight of the watermelon
20
Multiple Choice
Which of the following represents a watermelon that weighs 5.2 kg at 35 days.
f(35)=5.2
f(5.2)=35
f(t)=35
f(t)=5.2
21
Multiple Choice
For the weight of watermelon based on days, what does this function mean? f(20)= 2.5
The weight of the watermelon is 2.5 kg at 20 days.
The weight of the watermelon is 20 kg after 2.5 days.
The watermelon weighs 20 kgs at t days.
The watermelon weighs 2.5 kg at t days.
22
Domain
represents all possible x values.
Where did the function start on the left side and how far did it go to from left to right?
Use brackets [ for closed endpoints.
23
Multiple Choice
What is the domain of the function on the graph?
[0. 14]
(0, 14]
[0, 20]
(−∞, ∞)
24
Range
represents all possible y values.
Where did the function start at the bottom and how far did it go up? y-axis
Use brackets [ for closed endpoints.
25
Multiple Choice
What is the range of the function on the graph?
[2. 8]
(3, 8]
[0, 8]
(−∞, 8)
26
Minimum and Maximum
Minimum is the lowest point on the graph.
Maximum is the highest point on the graph.
27
Multiple Choice
What is the minimum of the function represented on the graph?
(0, 2)
(14, 3)
(2, 8)
(5, 8)
28
Multiple Choice
What is the range of the function?
(2, ∞)
(−∞, ∞)
(−∞, 2)
(−2, ∞)
29
Increasing and Decreasing Intervals
Always read the graph from left to right.
Intervals are always based on the x-axis, from left to right.
30
Multiple Choice
Which of the following intervals show where the function is increasing?
(0, 2)
(2, 5)
(5, 7)
(7, 14)
Semester 1 Finals Review

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