make a table of values and a hand drawn graph for the function y= 1.5^(x)

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make a table of values and a hand drawn graph for the function y= 1.5^(x)

Mathematics
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y(x)=1.5^x Y(-2)=1.5^(-2) ...(-2,0.444) Y(-1)=1.5^(-1) ...(-1,0.666) Y(0)=1.5^(-0) ...(0,1) Y(1)=1.5^(1) ...(1,1.5) Y(2)=1.5^(2) ...(2,2.25) and so on
i dont get how u did that
we chose a few numbers of our own choice (these are -2,-1,0,1,2) and substitute into the given equation we have (replacing x)

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x is an exponent tho
yes, no problem, we replaced x with a specific number to evaluate the function value at that number
how do you make a table of values thouhh
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u should then draw it by hand, and have a curve similar to this one
1 Attachment
thank you but like how did you come up with that table ? like what are the steps? i dont get it
and how do you know when to stop?
??
i just choose a few points, u can choose 3, 5, 10,1000000, it depends on u and the time u have
and what do you do with these points lol?
we replace each point we have select with x, and calculate the value we have, then we arrange all of these points into a table, just like the one above
how do you calculate the values though?? like i dont get it
ok sarah, lets work slowly, step by step, first, we have this function (mathematical relation) between two variables x and y, x can take any valye, while y is governed by 1.5^x, ok?
ok got it
good, now, since x can take any value, i want u to select a few values for x, can u?
uhm how many?
it's up to u, as many as u like
uhhh ok. 3 2 1 0 -1 -2 -3
excellent work sarah, now we'll take each one and put it instead of x, i'll do the first 3 numbers, -3, -2, -1: 1.5^-3=1/(1.5^3)=1/(1.5*1.5*1.5)=0.296 1.5^-2=1/(1.5^2)=1/(1.5*1.5)=0.444 1.5^-1=1/(1.5^1)=1/(1.5)=0.666 can u do any other number by urself??
i dony get how you did that. and all those symbols r confusin. :(
don't worry, what step is confusing u??
all the symbols like i dont get what your doing
how about i explain this one, ok? 1.5^-3=1/(1.5^3)=1/(1.5*1.5*1.5)=0.296
can u write it on the equation thingy so i can acutually seee what your doing?
\[1.5^{-3}\]
whats the rest ? lol

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