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goblinko [34]
3 years ago
14

I need to find Domain and Range but how do I know when to use brackets or parentheses

Mathematics
1 answer:
german3 years ago
3 0

Answer:

  • Square brackets [ or ] are used when the end point is included.
  • Parentheses ( or ) are used when the end point is not included.

Step-by-step explanation:

The domain is the horizontal extent of the graph. Here, it is from -2 to +3, with -2 included in the domain and +3 not included.

As an inequality, the domain is written ...

  -2 ≤ x < 3

In interval notation, we use a square bracket for the "or equal to" case:

  [-2, 3)

__

The range is the vertical extent of the function. Here, the range extends from -4 (not included) to +5 (included).

As an inequality, the range is written ...

  -4 < y ≤ 5

In interval notation, the range is written using a square bracket for the "or equal to" case:

  (-4, 5]

_____

<em>Comment on infinity</em>

There is no such thing as "equal to infinity" so an infinite limit is always represented in interval notation using a parenthesis.

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If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab
bearhunter [10]

Answer:

<h2>-27/4</h2>

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

<em>Hence the required value is -27/4</em>

5 0
4 years ago
X + y = -5 determine x-intercept and y-intercept
Fofino [41]

Very easy question.

To find x intercept: Multiply y by 0. You get x=-5.

To find y intercept: Multiply x by 0. You get y=-5.

4 0
3 years ago
If dab=125 what is the measure of cba justify your reasoning
KonstantinChe [14]
The answer is <span>D. x=y-z-9/7</span>
8 0
3 years ago
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the
FrozenT [24]

Answer:

\frac{48+5j}{j}

Step-by-step explanation:

<u>Complete Question:</u>

Angela shared a cab with her friends . When they arrived at their destination, they evenly divided the $48 fare among "j" of them . Angela gave the cab $5 tip. How much did Angela pay in total?

<u>Solution:</u>

The fare was $48 and including Angela, there were j people, so each paid:

48/j

Also, Angela paid $5 additionally.

So, Angela paid:

48/j  ---  when dividing evenly

5  ---   as a tip

Total Angela Paid:  =\frac{48}{j}+5\\=\frac{48+5j}{j}

Total Payment:  \frac{48+5j}{j}

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