Question

Select the correct answer. Exponential function fis represented by the table. -2. -1 0 1 2 f(x) -46 -22 -10 -4. -1 Function gis represented by the equation. gir) -18 18() +2 Which statement correctly compares the two functions on the interval [-1, 2]? ОА. Both functions are increasing, but function Fincreases at a faster average rate. O B. Only function fis increasing, but both functions are negative. OC. Only function fis increasing, and only function fis negative. Both functions are increasing, but function gincreases at a faster average rate. N 2. All rights reserved.

Answer 1

To find the answer we must compare the values of the functions. Making a table of function g, we have:

x y

-1 -18*((1/3)^(-1))+2 = -52 (Raising 1/3 to the power of -1, multiplying and adding)

0 -18*((1/3)^(0))+2 = -16 (Raising 1/3 to the power of 0, multiplying and adding)

1 -18*((1/3)^(1))+2 = -4 (Raising 1/3 to the power of 1, multiplying and adding)

2 -18*((1/3)^(2))+2 = 0 (Raising 1/3 to the power of 2, multiplying and adding)

We can see that both functions increase in that interval, but function g is increasing at a faster average rate. So, the answer is the option D.