Answer:
Every input can have only one output. But an output can have multiple inputs. Basically an x coordinate can have the same y coordinate as another ordered pair but not the same x coordinate. This is why d) does not represent a function.
Step-by-step explanation:
(4,-2)
(4,2)
4 is mentioned twice and every input( x value) can have only one output ( y-value)
The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>
The rate of change is calculated using:
![m = \frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
For function g at the interval [2,3], we have:
![m = \frac{g(3) - g(2)}{3- 2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bg%283%29%20-%20g%282%29%7D%7B3-%202%7D)
This gives
![m = \frac{20 - 4}{3- 2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B20%20-%204%7D%7B3-%202%7D)
![m =16](https://tex.z-dn.net/?f=m%20%3D16)
For function h at the interval [0,2], we have:
![m = \frac{h(2) - h(0)}{2- 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bh%282%29%20-%20h%280%29%7D%7B2-%200%7D)
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
![m = \frac{18 + 6}{2 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B18%20%2B%206%7D%7B2%20-%200%7D)
![m = 12](https://tex.z-dn.net/?f=m%20%3D%2012)
For function f at the interval [1,2], we have:
![m = \frac{f(2) - f(1)}{2- 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%282%29%20-%20f%281%29%7D%7B2-%201%7D)
This gives
![m = \frac{12 - 6}{2 - 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B12%20-%206%7D%7B2%20-%201%7D)
![m = 6](https://tex.z-dn.net/?f=m%20%3D%206)
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
Read more about average rates of change at:
brainly.com/question/8728504
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Answer:
<h2>1. (-6, 0) and (-1, 0)</h2><h2>2. not exist</h2><h2>3. (5, 0)</h2>
Step-by-step explanation:
The zeros of a quadratic function are x-intercepts of parabola.
Graph #1:
x = -6 and x = -1
Graph #2:
not exist
Graph #3:
x = 5
Answer:
Assuming you mean baseball in stead of basketball, if must be the 5th floor.
Step-by-step explanation:
"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.
So the baseball fan, which is Jean, lives on 5th.