Which of the following rational functions is graphed below?

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

3 0

The graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2 option (D) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

If we take the function:

$\rm f(x) = \dfrac{1}{\left(x-1\right)\left(x-2\right)}$

At x = 1 and x = 2 the function will be not defined, so this region would be hollow and as we can see in the graph of a function.

The function is not defined at x = 1 and x = 2.

Thus, the graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2.

Learn more about the function here:

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What is the equation of the line that passes through the point (-6, -8) and has a slope of 1/3

ivanzaharov [21]

Answer <u>(assuming it can be in point-slope form)</u>:

$y + 8 = \frac{1}{3} (x+6)$

Step-by-step explanation:

With the given information, we can use the point-slope formula, $y-y_1 = m (x-x_1)$ , to write the equation of the line. Substitute values for the $m$ , $x_1$ , and $y_1$ in the formula to do so.

The $m$ represents the slope, so substitute $\frac{1}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of one point the line intersects, so substitute -6 for $x_1$ and -8 for $y_1$ . This gives the following answer and equation (just make sure to convert the double negatives into positives: