Respuesta :
Both functions are increasing, but function f increases at a faster average rate.
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
What is an increasing function?
If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
Let us assume [tex]f(x)=ab^x+c[/tex]
at x=0, f(0)=-10
So, [tex]-10=a+c[/tex]
Similarly, by satisfying the above table in the f(x)
[tex]f(x)=-\frac{33}{5}(\frac{1}{11} )^x-\frac{17}{5}[/tex]
[tex]f'(x) > 0[/tex]
So we can say that f(x) is an increasing function.
[tex]g(x)=-18(\frac{1}{3})^x+2[/tex]
[tex]g'(x)=-18(\frac{1}{3})^xin(\frac{1}{3})[/tex]
[tex]in\frac{1}{3} < 0[/tex]
So, [tex]g'(x) > 0[/tex]
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x)
So, g increases at a faster average rate
Thus, Both functions are increasing, but function f increases at a faster average rate.
To get more about increasing functions visit:
https://brainly.com/question/12940982
