Determine if y=(1/5)^x is growth or decay

The function is decaying.

Step-by-step explanation:

Given:

The above equation can also write as below,

Now from the function we can see that as we are increasing the value of x the value of function is decreasing.  Let take some values of x and then find out the value of function at those value of x

When x = 1 ,

When x = 2,

When x = 3,

So, from the above examples, we can see that the value of function is decreasing on increasing the value of x. Hence the function is decay

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is