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Lunna [17]
1 year ago
8

Question 3. Y=(1/5)^xSketch the graph of each of the exponential functions and label three points on each graph.

Mathematics
1 answer:
STatiana [176]1 year ago
5 0

Given exponential function:

y\text{ = (}\frac{1}{5})^x

Let us obtain three points including the y-intercept so that we can plot the function y = f(x)

When x =0:

\begin{gathered} y\text{ = (}\frac{1}{5})^0 \\ =\text{ 1} \end{gathered}

when x =1:

\begin{gathered} y\text{ = (}\frac{1}{5})^1 \\ =\text{ }\frac{1}{5} \end{gathered}

when x =2:

\begin{gathered} y\text{ = (}\frac{1}{5})^2 \\ =\text{ }\frac{1}{25} \end{gathered}

We have the points : (0, 1), (1, 1/5), and (2, 1/25)

Using these points, let us provide a sketch of the plot of y =f(x). We have the plot as shown below:

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