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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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Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The

guajiro [1.7K]

The given function is,

$y=-5\cos (\frac{\pi}{2}(x-3))+6$

The graph can be drawn as,

The period will be distance between two consequetive maximas,

$\text{Period}=1-(-3)=4$

Thus, period is correct.

The amplitude can be determined as,

$\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}$

Thus, amplitue is incorrect.

The range is,

$y\in\lbrack1,11\rbrack$

Thus, the range is correct.

The midline is,

$\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}$

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0

1 year ago

M=1.33333(N+20). If N=16,find M<br><br>

aalyn [17]

Answer:

M=47.99988

Step-by-step explanation:

M=1.33333(16+20)

=1.33333(36)

=47.99988

8 0

3 years ago

Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)

Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then y = 0

From this we can get 2 points on the curve, namely, (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes: y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B (divide both sides by 4)

0 = 4A + B

B = -4A ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B (divide both sides by 2)

-1 = 2A + B (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

7 0

3 years ago

Graph the function in the image.

il63 [147K]

Answer:

Here is the graph to the intercepts.

Step-by-step explanation:

Graph of (6, 4), (4, 3), (-2, 0)

Hope it helps :)

8 0

3 years ago

Please help im very stuck

liraira [26]

Answer:

The answer is D!!!

Step-by-step explanation:

In the attachment!

I plugged in that equation into a graphing calculator and got this....

since it's also a (<, >) sin, we know that it's dotted.....

Hope this helps!

6 0

3 years ago