If f(a) is an exponential function where f(-3) = 18 and f(1) = 59, then find the value of f(0), to the nearest hundredth.

Given:

For en exponential function f(a):

To find:

The value of f(0).

Solution:

The general form of an exponential function is:

         ...(i)

Where, a is the initial value and b is the growth/ decay factor.

We have, . Substitute in (i).

           ...(ii)

We have, . Substitute in (i).

           ...(iii)

On dividing (iii) by (ii), we get

Substituting the value of b in (iii).

The initial value of the function is 43.83. It means, .

Therefore, the value of f(0) is 43.83.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.