Graphs of exponential functions
Categories: exponentials
We can calculate the value of ax for any rational value of x, where a is a positive value, as described here. We can also find the value of ax for irrational values of x as shown here.
This allows us to plot a graph of the exponential function for any positive value of a.
Exponential function with base 2
This graph shows the function $y = 2^x$:
It shows values of x from -3 to 3, in steps of 1/2. These steps can be calculated as described above for fractional exponents.
As with all exponential graphs, the graph gets steeper as x increases
Exponential function with base 10
This graph shows the function $y = 10^x$:
Notice that this graph is a lot steeper than the graph of $y = 2^x$. The two graphs have different x-scales.
See also
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