Graphs of y = 2ˣ and y = log₂ x, reflected in y = x

An example figure from the Coordinate Grid Generator.

A coordinate grid from −6 to 6 with the exponential curve y = 2^x in blue, the logarithm curve y = log₂ x in red, and the dashed line y = x between them — A coordinate grid numbered from −6 to 6 on both axes. The exponential curve y = 2ˣ is drawn in blue, passing through (0, 1) and (1, 2) and flattening toward the x-axis on the left; the logarithm y = log₂ x is drawn in red, passing through (1, 0) and (2, 1) and dropping toward the y-axis. The dashed line y = x between them shows that each is the other reflected, as inverse functions. Use it for inverses, domain and range, and asymptotes.

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Answer key

y = 2^x
y = log_2(x)
y = x: slope 1, y-intercept 0

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