Question

Compute the missing data in the table for the following exponential function

Round your answer to the nearest tenths place.
x : 0 1 2 3 4 5 6
f(x): ? 1.01 1.02 1.03 1.04 1.05 1.06

a. 0
b. 1.01
c. 1.001
d. 1

Answer 1

The correct option is:

d. 1

Explanation:

x : 0 1 2 3 4 5 6

f(x): ? 1.01 1.02 1.03 1.04 1.05 1.06

Clearly, we can see that the f(x) is increasing as the x is increasing and uniformly

at 1 its value is 1.01

at 2 its value is 1.02

at 3 its value is 1.03 and so on

Hence, at 0 its value will be 1.00

Hence, the correct option is:

d. 1

Answer 2

d. 1

Explanation:

The base for this "exponential" function is sufficiently close to 1 that the function looks linear. The value corresponding to x=0 seems to be 1.00. Rounded to tenths, it is 1.0.