Question

Which is the graph of f (x) = 3 (two-thirds) Superscript x?

Answer 1

Answer:

The function is as follows:

This is an exponential decay because . So, let's find some important points:

y-intercept:

This occurs when , so:

Find another point:

Finally, the exponential function passes through these two points as indicated below.

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Step-by-step explanation:

Answer 2

Shown below

Explanation:

The function is as follows:

$f(x)=3(\frac{2}{3})^x$

This is an exponential decay because $2/3$. So, let's find some important points:

y-intercept:

This occurs when $x=0$, so:

$f(x)=3(\frac{2}{3})^x \\ \\ f(x)=3(\frac{2}{3})^0 \\ \\ f(x)=3(1) \\ \\ f(x)=3 \\ \\ \\ So, \ point \ (0,3) \ is \ solution \ to \ the \ graph \ of \ the \ function$

Find another point:

$For \ x=1 \\ \\ f(x)=3(\frac{2}{3})^1 \\ \\ f(x)=2 \\ \\ \\ So, \ point \ (1,2) \ is \ also \ a \ solution$

Finally, the exponential function passes through these two points as indicated below.

Learn more:

Exponential functions: brainly.com/question/1854704

#LearnWithBrainly