domain and range. vertical line test a test use to check if the relation is a function. if the...
TRANSCRIPT
![Page 1: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/1.jpg)
DOMAIN AND RANGEDOMAIN AND RANGE
![Page 2: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/2.jpg)
Vertical line test
A test use to check if the relation is a function. If the vertical line passes through more than one point of
the graph, then it’s NOT a function
yes No
![Page 3: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/3.jpg)
Domain and range
Domain Range
Domain is the set of the first coordinates
Range is the set of the second coordinates
Function: a relation that assigns to each value in the domain exactly one value in the range.
![Page 4: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/4.jpg)
Example:
Find the domain and range of this function:
![Page 5: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/5.jpg)
Determine if the relation is a FUNCTION
Domain Range
The relationship is NOT a function
The relationship is a function
Domain Range
![Page 6: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/6.jpg)
Warm-upWarm-upUse the Vertical Line Test to determine the function:
Function Not a Function Function
Determine if the relations are a Function by mapping
Function Function
![Page 7: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/7.jpg)
Finding the Domain and range
Domain:
Range:
All real numbers
y: y ≥ 1
y, such that y is ≥ to 1
![Page 8: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/8.jpg)
Your Turn!Graph and find the domain and range of the following
function
y = x2 - 1 domain: {-1,0,1,2}
x y = x2 - 1 (x, y)
–1 y = (-1)2 - 1 = 0 (–1, 0)
0 y = (0)2 - 1 = -1 (0, -1)
1 y = (1)2 - 1 = 0 (1, 0)
2 y = (2)2 - 1 = 3 (2, 3)
Domain:
Range:
All real numbers
y: y ≥ -1
![Page 9: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/9.jpg)
Domain and Range
Domain: all real numbers
Range: {y | y≥ -3}
![Page 10: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/10.jpg)
Domain and Range
Domain: all real numbers
Range: {y | y ≤ 3}
![Page 11: DOMAIN AND RANGE. Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the](https://reader036.vdocuments.us/reader036/viewer/2022062805/5697bfbd1a28abf838ca220c/html5/thumbnails/11.jpg)
Classwork