How do you find the important points to graph $y = 2^{x} + 2$ $y = 2^x + 2$ ?

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Answer 1 · 2018-02-14T18:34:08

You can use the points $(0, 3), (1, 4), (2, 6)$ $(0,3),(1,4),(2,6)$ . Also use the asymptote $y = 2$ $y=2$ .

In an exponential graph, one of the most important points is the y-intercept. You can find this by plugging in $0$ $0$ for $x$ $x$ :

$y = 2^{0} + 2$ $y=2^0+2$

Anything to the zeroth power is $1$ $1$ .

$y = 1 + 2$ $y=1+2$

$y - 3$ $y-3$

The y-int is $(0, 3)$ $(0,3)$ .

You can also plug in $1 and 2$ $1 and 2$ in $x$ $x$ to find some other points.

$y = 2^{1} + 2 = 4$ $y=2^1+2=4$

$y = 2^{2} + 2 = 6$ $y=2^2+2=6$

You can use the points $(0, 3), (1, 4), (2, 6)$ $(0,3),(1,4),(2,6)$ .

Also consider the asymptote, $y = 2$ $y=2$ . Check out this graph for reference:

graph{2^x+2 [-9.58, 10.42, -0.08, 9.92]}

How do you find the important points to graph y = 2^x + 2y=2x+2y = 2^x + 2?