Question

2^x+1, how would I draw the graph?

Answer 1

x+1 is the exponent, or x is the exonent and 1 is added to the output?

Answer 2

\(\large \color{black}{ 2^x+1 }\) or \(\large \color{black}{ 2^{x+1} }\) ?

Answer 3

the first one

Answer 4

So, you are just shifting it vertically.
For example,

\(\Large\color{ purple }{\Large {\bbox[5pt, lightcyan ,border:2px solid white ]{ \large\text{ }\\
\begin{array}{|c|c|c|c|}
\hline \texttt{Shifts} ~~~\tt from~~~ {f(x)~~~\tt to~~~g(x)}&~\tt{c~~~units~~~~} \\
\hline
\\f(x)= a^x ~~~~~\rm{\Rightarrow}~~~~ g(x)= a^{\Large (x \color{red}{ -~\rm{c} })} &~\rm{to~~the~~right~} \\
\text{ } \\
f(x)= a^x ~~~~~\rm{\Rightarrow}~~~~ g(x)= a^{\Large (x \color{red}{ +~\rm{c} })} &~\rm{to~~the~~left~} \\
\text{ } \\
f(x)= a^x ~~~~~\rm{\Rightarrow}~~~~ g(x)= a^x \normalsize\color{red}{ +~\rm{c} } &~\rm{up~} \\
\text{ } \\
f(x)= a^x ~~~~~\rm{\Rightarrow}~~~~ g(x)= a^x \normalsize\color{red}{ -~\rm{c} } &~\rm{down~} \\ \\
\hline
\end{array} }}}\)

Answer 5

sorry it took too long to type this.

Answer 6

Do I do anything with the 2? @SolomonZelman

Answer 7

Well, the 2^x is the essence of your graph.
And this is what it looks like.
https://www.desmos.com/calculator/35vkgex12p

you can notice, that x, the domail, is all real numbers. Because there is no restriction on what to put in.
Dom: \(\large\color{black}{ (-\infty~,~+\infty) }\)
The y will approach zero, as x becomes an exponent of negative values with bigger magnitudes.

Answer 8

you just need to observe the pattern and do an accurate, approximate, but not absolutely exact sketch.

\(\large\color{black}{ y=2^x }\)

\(\large\color{black}{ x=0,~~y=2^0~~\Rightarrow ~~~y=1~~~~~~\Rightarrow (0,1)}\)

Answer 9

Do just a couple of points like this.

Answer 10

Oh my man, this site is so glitchy!!

Answer 11

\(\large\color{black}{ x=1,~~y=2^1~~\Rightarrow ~~~y=2~~~~~~\Rightarrow (1,2)}\)

\(\large\color{black}{ x=2,~~y=2^2~~\Rightarrow ~~~y=4~~~~~~\Rightarrow (2,4)}\)

\(\large\color{black}{ x=3,~~y=2^3~~\Rightarrow ~~~y=8~~~~~~\Rightarrow (3,8)}\)

Answer 12

See the pattern for all positive values?

Answer 13

I don't how you want to graph it. You can use a graphing calculator, or by hand, what exactly do you want?

Answer 14

How would I do it if it was \[3^{x-1}\]