How do you graph y=3^x?

1 Answer

To plot the graph of y=3^x, there is a need to determine some important (x, y) coordinates and asymptotes.

Explanation:

from the equation y=3^x, set x=0, then solve for y to determine the y-intercept.

y=3^0=1 so one point on the graph is (0, 1)

Set x now to the very large value +oo, then solve for y.

y=3^oo=oo so conclusive to say that when x approaches oo
y approaches oo also

Set x now to the very negative value -oo, then solve for y.

y=3^-oo=0

therefore, at x=-oo the value of y approaches 0 and y=0 is an asymptote.

the graph of y=3^x
graph{(y-3^x)=0[-10,10,5,5]}
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