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# Graphing logarithmic and exponential functions

### Exponential graphs

As with graphing other functions, follow the same rules:

• Select a relevant domain.
• Draw up the table of values.
• Plot the points.

For example, plot the curve $$y=2^x$$:

 $$x$$ $$-3$$ $$-2$$ $$-1$$ $$\ 0\$$ $$\ 1\$$ $$\ 2\$$ $$\ 3\$$ $$y = 2^x$$ $$0.125$$ $$0.25$$ $$0.5$$ $$1$$ $$2$$ $$4$$ $$8$$

• Simple exponential growth graphs all have the same shape as the figure above.
• The range includes only real numbers greater than zero.
• There will be a $$y$$-intercept, in this case $$y=1$$.
• As the independent variable decreases (approaches negative infinity, $$-\infty$$) the dependent variable approaches zero.
• As the independent variable increases (approaches infinity) the dependent variable increases rapidly.