Question

I will fan and medal if you can help me with this!!!
Come up with a new linear function that has a slope that falls in the range
-1 < m < 0. Choose two different initial values. For this new linear function,
what happens to the function’s values after many iterations? Are the
function’s values getting close to a particular number in each case?

Answer 1

@SolomonZelman Can you help me out please?

Answer 2

@KJSaif please help me!

Answer 3

Choose any number in between (and not including) -1 and 0.

Answer 4

A linear function is in a form:
\(\color{#000000}{ \displaystyle y=mx+b }\)

Where \(\color{#000000}{ \displaystyle m }\) is the slope (or the rate of change, or the rate of growth),
and \(\color{#000000}{ \displaystyle b }\) is the y-intercept (or some starting value.

Answer 5

So, you can choose any \(\color{#000000}{ \displaystyle m }\) that is between 0 and -1,
and whatever \(\color{#000000}{ \displaystyle b }\) that you feel like.