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Alex_Xolod [135]
3 years ago
15

Which of the following rational functions is graphed below?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:

F(x) = 1/x^2

Step-by-step explanation:

F(x) = 1/x^2 is

y = 1/x^2

graph goes up to 10 each side

plug in 1,2,3,4,5,6,7,8,9,10 for x and see what y looks like

when x is  1,2,3,4,5,6,7,8,9,10

y is 1,1/4,1/9,etc

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Answer:

(a)

if x \geq 0 then  x \geq a and if x<0 then -x > a

(b)

That is straightforward from what you showed on theorem 3.25

(c)

Following the same ideas from (a) x>a or -x > a.

Step-by-step explanation:

Remember how we define the absolute value of a number.

(a)

In general

|x| = x  \,\,\,\text{if}  \,\,\,\, x \geq 0 \\|x| = -x  \,\,\,\text{if}  \,\,\,\, x < 0

Therefore if |x| \geq a   you have two cases, if x \geq 0 then  x \geq a and if x<0 then -x > a

(b)

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(c)

Following the same ideas from (a) x>a or -x > a.

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