How do you graph $y = 5^{x}$ $y=5^x$ ?

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Answer 1 · 2018-07-02T22:12:08

See below:

With any graph, we can make a table of values, and then plot them.

$x a a a ∣ a a a y$ $xcolor(white)(aaa)|color(white)(aaa)y$

$- 3 \frac{l}{l} ∣ \frac{2}{2} 5^{- 3} = \frac{1}{125}$ $-3color(white)(l/l)|color(white)(2/2)5^(-3)=1/125$

$0 a a a ∣ a a a 5^{0} = 1$ $0color(white)(aaa)|color(white)(aaa)5^0=1$

$1 a a a ∣ a a a 5^{1} = 5$ $1color(white)(aaa)|color(white)(aaa)5^1=5$

$2 a a a ∣ a a a 5^{2} = 25$ $2color(white)(aaa)|color(white)(aaa)5^2=25$

$3 a a a ∣ a a a 5^{3} = 125$ $3color(white)(aaa)|color(white)(aaa)5^3=125$

$4 a a a ∣ a a a 5^{4} = 625$ $4color(white)(aaa)|color(white)(aaa)5^4=625$

Notice, as $x$ $x$ increases slowly, $y$ $y$ balloons up really quickly. This means our parabola has a very high slope for positive values.

graph{5^x [-10, 10, -5, 5]}

Hope this helps!

How do you graph y=5xy=5^x?