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{{ printedBook.courseTrack.name }} {{ printedBook.name }} We want to draw a graph of the given exponential function. $f(x)=2(3)_{x} $ Because the $base$ of the function is greater than $1,$ we know that this is an exponential growth function. To draw the graph, we will start by making a table of values.

$x$ | $2(3)_{x}$ | $y=2(3)_{x}$ |
---|---|---|

$-3$ | $2(3)_{-3}$ | $0.074…$ |

$-2$ | $2(3)_{-2}$ | $0.222…$ |

$-1$ | $2(3)_{-1}$ | $0.666…$ |

$0$ | $2(3)_{0}$ | $2$ |

$1$ | $2(3)_{1}$ | $6$ |

$2$ | $2(3)_{2}$ | $18$ |

The ordered pairs $(-3,0.074),$ $(-2,0.222),$ $(-1,0.666),$ $(0,2),$ $(1,6),$ and $(2,18)$ all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.