Explain why the initial value of any function in the form of F(x)=a(b^x) is equal to a

Step-by-step explanation:

We have a function in the form

The initial value of a function refers to the value of the function when x=0.

If we plug in x=0 into our function, we get

Any number to the power of 0 is equal to 1, so we can rewrite this function as

Here we can see that we have just shown why the initial value of any function in the the given form is equal to a.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)