Question

Sketch a graph of each function then the inverse

Answer 1

\[\huge y=2^x\]

Answer 2

plot some points on it. all exponential functions of that form cross at (0, 1) so that is one point. note that 2^x is never negative, so as x gets more and more negative, 2^x get closer and closer to 0 but still remains positive

Answer 3

but then what does the "2" signify ?

Answer 4

it signifies the base? what do you mean

Answer 5

like i mean on the graph

Answer 6

how would the graph of y=2^x differ from let's say y=5^x

Answer 7

oh, well i guess you could say that 2^x increases at a slower rate than, say, 3^x, but at a faster rate of 1.5^x

you can use it to plot points easily

like x = 2 means y = 2^2 = 4 so (2, 4) is another point

(1, 2^1) is a point
(2, 2^2) is a point
(2, 2^3) is a point
. . .
. . .

Answer 8

thanks !

Answer 9

this is the basic version of that kind of exponential function