31)The scale on a map shows that 5 centimeters = 2 kilometers.
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Given exponential function:
Let us obtain three points including the y-intercept so that we can plot the function y = f(x)
When x =0:
when x =1:
when x =2:
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:
A matrix 
is symmetric if 
. We have
and so
is indeed symmetric.
and so