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

d. 1

Step-by-step 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.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction