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1 year ago

What is the domain of the function graphed below?

Mathematics

2 answers:

Darina [25.2K]1 year ago

7 0

The domain of the function graphed is $x$ . Option (a) is correct.

Further explanation:

Domain is a set of all the possible values of the function. The value at which the function is defined is known as domain.

Range is a set of values that the function takes.

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

Explanation:

The function can’t take the values greater than 7 or equal to 7.

The function is defined for the values of x less than 7. Therefore the domain of the function is $x$ .

The domain of the function graphed is $x$ . Option (a) is correct.

Option (a) is correct as the domain of the graphed function is $x$ .

Option (b) is not correct as the domain of the graphed function is $x$ .

Option (c) is not correct as the domain of the graphed function is $x$ .

Option (d) is not correct as the domain of the graphed function is $x$ .

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Functions

Keywords: range, domain, codomain, relation, function, graph, coordinates, close interval, open interval, values.

valkas [14]1 year ago

5 0

The function is defined over these ranges of x:
(-∞, -1) and [-1, 7), that is for x < 7.

Note that
The function is undefined at x = --1 over the left portion of the straight line, but the function s defined at x = -1 for the right portion f the straight line.
The function is undefined at x = 7 and for larger values of x.

Answer: x < 7

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1 year ago

Adam lived a quarter of his life as a boy as fifth as a young man, a third in middle-age and 13 years in retirement. How old was

Anika [276]

ANSWER

Find out the how old was we when he died.

To proof

Let us assume that the age of the Adam be x

As given

Adam lived a quarter of his life as a boy as fifth as a young man, a third in middle-age and 13 years in retirement.

$x =\frac{x}{4} +\frac{x}{5} +\frac{x}{3} + 13$

L.C.M of denominator i.e ( 4,5,3) =60

than the equation becomes

60x = 15x + 12x +20x +780

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Hence proved

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2 years ago

Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist

Lera25 [3.4K]

Answer:

$Sum = -81$

Step-by-step explanation:

See the comment for complete question.

Given

$c = 36$ ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

$x^2 + ax + 36 = 0$

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

$x = -\alpha$ and $x = -\beta$

Using the above roots, the equation can be represented as:

$(x + \alpha)(x + \beta) = 0$

Open brackets

$x^2 + (\alpha + \beta)x + \alpha \beta = 0$

To compare the above equation to $x^2 + ax + 36 = 0$ , we have:

$a = \alpha + \beta$

$\alpha \beta = 36$

Where: $\alpha, \beta$ and $\alpha \ne \beta$

The values of $\alpha$ and $\beta$ that satisfy $\alpha \beta = 36$ are:

$\alpha = -1$ and $\beta = -36$

$\alpha = -2$ and $\beta = -18$

$\alpha = -3$ and $\beta = -12$

$\alpha = -4$ and $\beta = -9$

So, the possible values of a are:

$a = \alpha + \beta$

When $\alpha = -1$ and $\beta = -36$

$a = -1 - 36 = -37$

When $\alpha = -2$ and $\beta = -18$

$a = -2 - 18 = -20$

When $\alpha = -3$ and $\beta = -12$

$a = -3 - 12 = -15$

When $\alpha = -4$ and $\beta = -9$

$a = -4 - 9 = -13$

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

$Sum = -37 -20 -15 - 9$

$Sum = -81$

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