How do you graph #y=5^x#?

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Answer 1 · 2018-07-02T22:12:08

See below:

With any graph, we can make a table of values, and then plot them.

#xcolor(white)(aaa)|color(white)(aaa)y#

#-3color(white)(l/l)|color(white)(2/2)5^(-3)=1/125#

#0color(white)(aaa)|color(white)(aaa)5^0=1#

#1color(white)(aaa)|color(white)(aaa)5^1=5#

#2color(white)(aaa)|color(white)(aaa)5^2=25#

#3color(white)(aaa)|color(white)(aaa)5^3=125#

#4color(white)(aaa)|color(white)(aaa)5^4=625#

Notice, as #x# increases slowly, #y# balloons up really quickly. This means our parabola has a very high slope for positive values.

graph{5^x [-10, 10, -5, 5]}

Hope this helps!