The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.
Given the table
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
We have to choose which statement describes better about function
Let us assume ![f(x)=ab^x+c](https://tex.z-dn.net/?f=f%28x%29%3Dab%5Ex%2Bc)
at x=0, f(0)=-10
So, -10 =a+c
Similarly, by satisfying the above table in the f(x)
![f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B33%7D%7B5%7D%20%28%5Cfrac%7B1%7D%7B11%7D%29%5Ex-%5Cfrac%7B17%7D%7B5%7D)
![f'(x) > 0](https://tex.z-dn.net/?f=f%27%28x%29%20%3E%200)
So we can say that f(x) is an increasing function.
![g(x) = - 18 (\frac{1}{3} )^ x + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-%2018%20%20%28%5Cfrac%7B1%7D%7B3%7D%20%20%29%5E%20x%20%2B%202)
![g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)](https://tex.z-dn.net/?f=g%5E%20%5Cprime%20%28x%29%20%3D%20-%2018%20%28%5Cfrac%7B1%7D%7B3%7D%20%20%29%5E%20x%20%20ln%281%2F3%29)
ln(1/3) < 0
So, g^ \prime (x) > 0
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x) ![g'(x) > f'(x)](https://tex.z-dn.net/?f=g%27%28x%29%20%3E%20f%27%28x%29)
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
Learn more about increasing functions here: brainly.com/question/12940982
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A equation of a linear function in a standard form:
Ax + By = C
![2y-\dfrac{x}{6}-4=0\ \ \ \ |\cdot(-6)\\\\-12y+x+24=0\ \ \ \ |-24\\\\-12y+x=-24\\\\\boxed{x-12y=-24}](https://tex.z-dn.net/?f=2y-%5Cdfrac%7Bx%7D%7B6%7D-4%3D0%5C%20%5C%20%5C%20%5C%20%7C%5Ccdot%28-6%29%5C%5C%5C%5C-12y%2Bx%2B24%3D0%5C%20%5C%20%5C%20%5C%20%7C-24%5C%5C%5C%5C-12y%2Bx%3D-24%5C%5C%5C%5C%5Cboxed%7Bx-12y%3D-24%7D)
<h3>Answer: YES. It's a linear function.</h3>
3.75 as a decimal, 3 &3/4 as a fraction
Answer:1/12
Step-by-step explanation: if the loop 11/12 of a mile and she rode for 1/2 of a mile then 1/3 , subtract what she rode from 11/12 then you get 1/12
Answer:
6x-12
Step-by-step explanation: