Please help.....
For the function y=1^x, make a table with integer values of x from 0 to 4. Then graph the function (you do not need to submit the graph). Does the graph of show exponential growth, exponential decay, or neither? Explain your thinking.

Question

Please help.....
For the function y=1^x, make a table with integer values of x from 0 to 4. Then graph the function (you do not need to submit the graph). Does the graph of show exponential growth, exponential decay, or neither? Explain your thinking.

yanasidlinskiy · Answer

@johnweldon1993

johnweldon1993 · Answer

Alright...so we have

$$\large 1^x$$

We need to know that 'y' equals when we make x = 0,1,2,3 and 4    so lets do that

|dw:1399561816608:dw|

When you plug 0 in for 'x'   what do you get?

yanasidlinskiy · Answer

0,

johnweldon1993 · Answer

Not quite....it's important to remember...anything to the 0 power...= 1

$$\large 1^0 = 1$$

Okay?

johnweldon1993 · Answer

Now what about when you plug in 1? and 2? 3? etc...

yanasidlinskiy · Answer

Wow...i knew that..but i wasn't quite sure...but it is going to be 1 for the rest right?

johnweldon1993 · Answer

Mmhmm 1 to ANY power will give you 1...so you just have a table that looks like

|dw:1399562229585:dw|

If this was exponential growth..that number would at least grow
And if it was decay..it would at least shrink....so this is...?

yanasidlinskiy · Answer

neither..

johnweldon1993 · Answer

"The medal goes to !!!" lol Great job! :)

yanasidlinskiy · Answer

Haha!!:) thanx.....you too..i knew you were going to help me understand it easily...:) lol..

johnweldon1993 · Answer

Of course :)