Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed...
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Transcript of Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed...
![Page 1: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/1.jpg)
![Page 2: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/2.jpg)
Do Now
Complete Frayer Model
![Page 3: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/3.jpg)
Functional NotationAn equation that is a function may be expressed using functional notation.
The notation f(x) (read “f of (x)”) represents the variable y.
![Page 4: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/4.jpg)
Example: y = 2x + 6 can be written as f(x) = 2x + 6.
Given the equation y = 2x + 6, evaluate when x = 3.
y = 2(3) + 6 y = 12
Functional Notation Cont’d
![Page 5: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/5.jpg)
For the function f(x) = 2x + 6, the notation f(3) means that the variable x is replaced with the value of 3.
f(x) = 2x + 6
f(3) = 2(3) + 6f(3) = 12
Functional Notation Con’t
![Page 6: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/6.jpg)
Given f(x) = 4x + 8, find each:1. f(2)
2. f(a +1)
3. f(4a)
Evaluating Functions
= 4(2) + 8= 16
= 4(a + 1) + 8= 4a + 4 + 8= 4a + 12
= 4(-4a) + 8= -16a+ 8
![Page 7: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/7.jpg)
![Page 8: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/8.jpg)
Determine the value of x when given f(x).
Given f(x) = 4x + 8, determine x when:
f(x) = 2
f (x) = -1
![Page 9: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/9.jpg)
![Page 10: Do Now Complete Frayer Model Functional Notation An equation that is a function may be expressed using functional notation. The notation f(x) (read “f.](https://reader036.fdocuments.us/reader036/viewer/2022083009/5697c01e1a28abf838cd11c2/html5/thumbnails/10.jpg)
If f(x) = 3x 1, and g(x) = 5x + 3, find each:
Evaluating More Functions
= [3(2) -1] + [5(3) + 3]= 6 - 1 + 15 + 3= 23
= [3(4) - 1] - [5(-2) + 3]= 11 - (-7)= 18
= 3[3(1) - 1] + 2[5(2) + 3]= 6 + 26= 32
1. f(2) + g(3)
2. f(4) - g(-2)
3. 3f(1) + 2g(2)