Types of Functions in Algebra 1 (Part 2 of 5)
Presentation
•
Mathematics
•
8th - 12th Grade
•
Medium
Standards-aligned
Dianne Saevig
Used 18+ times
FREE Resource
36 Slides • 24 Questions
1
Types of Functions in Algebra 1 (Part 2 of 5)
In this part, we will focus on the graphs and equations of the functions.
2
Linear Functions
When graphed, they always form a line.
Equations of linear functions are degree one (and on special occasions, degree zero.)
We call horizontal lines (degree zero) constant functions and most consider them to be special linear functions.
3
Multiple Select
Which of the following are graphs of linear equations?
4
5
Multiple Select
Which of the following are graphs of linear equations?
6
7
Multiple Select
Which of the following are graphs of linear equations?
8
9
Multiple Select
Which of the following are graphs of linear equations?
10
11
Linear Functions
When graphed, they always form a line.
Equations of linear functions are degree one (and on special occasions, degree zero.)
We call horizontal lines (degree zero) constant functions and most consider them to be special linear functions.
12
Multiple Select
Which of the following functions represent linear functions?
f(x)=x+3
f(x)=5x−2
f(x)=2x2−3x+5
f(x)=7
f(x)=19x − 5 + 2x
13
14
Multiple Select
Which of the following functions represent linear functions?
f(x)=−2(x−1)2+8
f(x)=−232
f(x)=5x1−3
f(x)=−∣x−3∣+8
15
16
Multiple Select
Which of the following functions represent linear functions?
f(x)=−2(x−1)2+8
f(x)=7(x−3)+8(x+2)
f(x)=5x+2
f(x)=2x1+7x1−8x0
17
18
Multiple Select
Which of the following functions represent linear functions?
f(x)=−2(x−1)2+8
f(x)=2∣x∣+7
f(x)=2(3)x−1
f(x)=5
f(x)=3−x
19
20
Quadratic Functions
Graph is in the shape of a parabola (which looks like a hill or a valley)
Equation is always degree two.
21
22
23
Quadratic Functions
Graph is in the shape of a parabola (which looks like a hill or a valley)
Equation is always degree two.
24
Multiple Select
Which of the following are graphs of quadratic functions?
25
26
Multiple Select
Which of the following are graphs of quadratic functions?
27
28
Multiple Select
Which of the following are graphs of quadratic functions?
29
30
Multiple Select
Which of the following are graphs of quadratic functions?
31
32
Quadratic Functions
Graph is in the shape of a parabola (which looks like a hill or a valley)
Equation is always degree two.
33
Multiple Select
Which of the following functions represent quadratic functions?
f(x)=x+3
f(x)=5x−2
f(x)=2x2−3x+5
f(x)=7
f(x)=19x − 5 + 2x
34
35
Multiple Select
Which of the following functions represent quadratic functions?
f(x)=−2(x+5)2−13
f(x)=−232
f(x)=5x1−3
f(x)=−∣x−3∣+8
36
37
Multiple Select
Which of the following functions represent quadratic functions?
f(x)=−2(x−1)2+8
f(x)=7(x−3)+8(x+2)
f(x)=5x+2
f(x)=2x2+7x1−8x0
38
39
Multiple Select
Which of the following functions represent quadratic functions?
f(x)=5−x2
f(x)=2∣x∣+7
f(x)=2(3)x−1
f(x)=5
f(x)=3−x
40
41
Exponential Functions
Graph is a flat and flare.
You can recognize the equations because the variable is in the exponent.
42
Exponential Functions
Graph is a flat and flare.
You can recognize the equations because the variable is in the exponent.
43
Multiple Select
Which of the following are graphs of exponential functions?
44
45
Multiple Select
Which of the following are graphs of exponential equations?
46
47
Multiple Select
Which of the following are graphs of exponential functions?
48
49
Multiple Select
Which of the following are graphs of exponential functions?
50
51
Exponential Functions
Graph is a flat and flare.
You can recognize the equations because the variable is in the exponent.
52
Multiple Select
Which of the following functions represent exponential functions?
f(x)=x+3
f(x)=5x−2
f(x)=2x2−3x+5
f(x)=7x
f(x)=19x − 5 + 2x
53
54
Multiple Select
Which of the following functions represent exponential functions?
f(x)=2(x+5)2−13
f(x)=−223
f(x)=2(0.25)(3x−1)+8
f(x)=−3x
55
56
Multiple Select
Which of the following functions represent exponential functions?
f(x)=−2(x−1)2+8
f(x)=7(x−3)+8(x+2)
f(x)=7(0.3)x+2
f(x)=2x2+7x−8
57
58
Multiple Select
Which of the following functions represent exponential functions?
f(x)=5−x2
f(x)=2∣x∣+7
f(x)=5
f(x)=2⋅3x−1
f(x)=3−x
59
60
What type of function?
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Types of Functions in Algebra 1 (Part 2 of 5)
In this part, we will focus on the graphs and equations of the functions.
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