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2 years ago

100pts!! Please help me graph this piecewise function!!!!

Mathematics

1 answer:

Mrac [35]2 years ago

8 0

Answer:

Step-by-step explanation:

Attached is graphed piecewise function.

Take note, if the inequality is a less than or equal to or (more than or equal to), the dots will be solid, otherwise it will be hollow.

Since this is a piecewise function, here is one question you might want to ask yourself:

Does the limit exist when x approaches 4?

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What value does f(x,y) = (x + 2y)/(x -2y) approach as (x,y) approaches (0,0) along the x-axis?

WARRIOR [948]

Answer:

B. f(x,y) has no limit and does not approach infinity or minus infinity as (x,y) approaches (0,0) along the x-axis.

Step-by-step explanation:

Given the function

f(x,y) = (x + 2y)/(x -2y)

We can apply

y = mx

then

lim (x,y) → (0, 0) f(x,y) = lim (x,mx) → (0, 0) f(x, mx)

⇒ lim (x → 0) (x + 2mx)/(x -2mx) = lim (x → 0) x(1+2m)/(x*(1-2m)) = (1+2m)/(1-2m)

y = x²

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x²)/(x -2x²) = (1 + 4(0))/(1 - 4(0)) = 1

y = x³

then

lim (x,y) → (0, 0) f(x,y) = lim (x → 0) f(x)

⇒ lim (x → 0) (x + 2x³)/(x -2x³) = (1 + 6(0)²)/(1 - 6(0)²) = 1

We applied L'Hopital's rule to solve the limits.

Then, we can say that f(x,y) has no limit since the limits obtained are different.

4 0

3 years ago

What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. *Will give brainliest*

goldenfox [79]

Answer:

√134

Step-by-step explanation:

Solve for the top line first,

√(5²+3²)

= √34

then for the dotted line,

√(10²+(√34)²)

= √134

7 0

3 years ago

Factor each expression 8+16

astraxan [27]

<span>The individual factors for each integer along with the common factors and greatest common factor will be shown. Factors of 18 are 1, 2, 3, 6, 9, 18. Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.</span>

6 0

3 years ago

Read 2 more answers

What part of 35 is 56? *not a percent* help pls

lesantik [10]

Expressed as a fraction 56 is 56/35 of 35. That fraction can be reduced, and expressed several ways.

56/35 = 8/5 = 1 3/5 = 1.6

56 is 1 3/5 of 35

56 is 1.6 times 35

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3 years ago

30 kg of tomatoes cost $93. how much would 14 kg cost

katovenus [111]

Answer:

$43.4

Step-by-step explanation:

Let's say x is the cost per kilgram

30x = 93

x = 3.1

14x = 43.4

8 0

3 years ago