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2 years ago

Which Of The Following Rational Functions Is Graphed Below

Mathematics

1 answer:

Blizzard [7]2 years ago

5 0

The given rational functions is graphed in the figure is Option B. f(x) = 1/ ( x-2) (x + 5) is correct.

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

The function is a type of relation, or rule, that maps one input to specific single output.

Here, a graph is given.

We need to find which of the given rational functions is graphed in the figure.

On x-axis, 1 unit = 2 units

Clearly, we can see the graph is not defined at point x = 2 and at x = -5.

Corresponding to x = 2, factor is (x - 2) .

Corresponding to x = -5, factor is (x + 5) .

So, this graph is of the rational fraction

Hence, Option B. f(x) = 1/ ( x-2) (x + 5) is correct.

Learn more about function here:

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T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.

kotykmax [81]

Answer:

$L = (-10,10)$

Step-by-step explanation:

Given

$K = (2,-6)$

$T = (-4,2)$

Required

Determine the coordinates of L

Since T is the midpoint of K and L, we make use of:

$T_x = \frac{K_x + L_x}{2}$

and

$T_y = \frac{K_y + L_y}{2}$

Solving for $L_x$

$T_x = \frac{K_x + L_x}{2}$

$-4 = \frac{2 + L_x}{2}$

Multiply through by 2

$-8 = 2 + L_x$

$L_x = -8 - 2$

$L_x = -10$

Solving for $L_y$

$T_y = \frac{K_y + L_y}{2}$

$2 = \frac{-6+L_y}{2}$

Multiply through by 2

$4 = -6 + L_y$

$L_y = 4 + 6$

$L_y = 10$

Hence: The coordinates of L is:

$L = (-10,10)$

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Step-by-step explanation:

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$4h$ ÷5

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