A. Find and explain the error in the work shown.

Mathematics

1 answer:

Marizza181 [45]3 years ago

5 0

The error is that they had placed the numbers in the wrong placeholder. Remember that the Distance formula is $D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

Correct Work:

$D=\sqrt{(5-(-1))^2+(16-15)^2}\\D=\sqrt{6^2+1^2}\\D=\sqrt{36+1}\\D=\sqrt{37}\ \approx 6.08$

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A. $f(x)=3(\frac{1}{2})^x$

Step-by-step explanation:

The options are:

$A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}$

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

$f(x) = a^x$

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If $bf(x)$ and $b>1$ , then the function is stretched vertically by a factor of "b".

2. If $bf(x)$ and $0$ , then the function is compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

$f(x)=3(\frac{1}{2})^x$

Where the factor is:

$b=3$