Question

Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g(x)=-18(1/3)^x+2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, and only function f is negative. D. Both functions are increasing, but function g increases at a faster average rate.

Answer 1

Answer: I think it's D.

Step-by-step explanation:

I'm on the same thing and my best answer is Both functions are increasing, but function g increases at a faster average rate.

Answer 2

Both functions are increasing, but function g 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 $f(x)=ab^x+c$

at x=0, f(0)=-10

So, $-10=a+c$

Similarly, by satisfying the above table in the f(x)

$f(x)=-\frac{33}{5} (\frac{1}{11} )^x-\frac{17}{5}$

$f'(x) > 0$

So we can say that f(x) is an increasing function.

$g(x)=-18(\frac{1}{3} )^x+2$

$g'(x)=-18(\frac{1}{3} )^xln(\frac{1}{3} )$

$ln\frac{1}{3} < 0$

So, $g'(x) > 0$

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) $g'(x) > f'(x)$

So, g increases at a faster average rate

Thus,  Both functions are increasing, but function g increases at a faster average rate.

To get more about increasing functions visit:

https://brainly.com/question/12940982